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Finding the Fourth Proportional to 29,643.60, 40,907.88 and 16,214.88

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Solution

The fourth proportional to 29,643.60, 40,907.88 and 16,214.88 is: 22,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643.60 : 40,907.88 = 16,214.88 : x
  2. Step 2: Convert to fraction form
    29,643.60/40,907.88 = 16,214.88/x
  3. Step 3: Cross multiply
    29,643.60x = 40,907.88 × 16,214.88
  4. Step 4: Simplify right side
    29,643.60x = 663,316,365.25
  5. Step 5: Solve for x
    x = 663,316,365.25/29,643.60
  6. Step 6: Final answer
    x = 22,376.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.