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Finding the Fourth Proportional to 14,877.50, 22,316.26 and 5,643.50

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Solution

The fourth proportional to 14,877.50, 22,316.26 and 5,643.50 is: 8,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,877.50 : 22,316.26 = 5,643.50 : x
  2. Step 2: Convert to fraction form
    14,877.50/22,316.26 = 5,643.50/x
  3. Step 3: Cross multiply
    14,877.50x = 22,316.26 × 5,643.50
  4. Step 4: Simplify right side
    14,877.50x = 125,941,813.31
  5. Step 5: Solve for x
    x = 125,941,813.31/14,877.50
  6. Step 6: Final answer
    x = 8,465.25

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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.