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Finding the Fourth Proportional to 22,159.48, 30,567.22 and 14,607

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Solution

The fourth proportional to 22,159.48, 30,567.22 and 14,607 is: 20,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,159.48 : 30,567.22 = 14,607 : x
  2. Step 2: Convert to fraction form
    22,159.48/30,567.22 = 14,607/x
  3. Step 3: Cross multiply
    22,159.48x = 30,567.22 × 14,607
  4. Step 4: Simplify right side
    22,159.48x = 446,495,382.54
  5. Step 5: Solve for x
    x = 446,495,382.54/22,159.48
  6. Step 6: Final answer
    x = 20,149.18

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