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Finding the Fourth Proportional to 15,098.64, 22,643.40 and 6,331.60

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Solution

The fourth proportional to 15,098.64, 22,643.40 and 6,331.60 is: 9,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.64 : 22,643.40 = 6,331.60 : x
  2. Step 2: Convert to fraction form
    15,098.64/22,643.40 = 6,331.60/x
  3. Step 3: Cross multiply
    15,098.64x = 22,643.40 × 6,331.60
  4. Step 4: Simplify right side
    15,098.64x = 143,368,967.87
  5. Step 5: Solve for x
    x = 143,368,967.87/15,098.64
  6. Step 6: Final answer
    x = 9,495.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.