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Finding the Fourth Proportional to 16,543.76, 22,830.32 and 9,470.16

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Solution

The fourth proportional to 16,543.76, 22,830.32 and 9,470.16 is: 13,068.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.76 : 22,830.32 = 9,470.16 : x
  2. Step 2: Convert to fraction form
    16,543.76/22,830.32 = 9,470.16/x
  3. Step 3: Cross multiply
    16,543.76x = 22,830.32 × 9,470.16
  4. Step 4: Simplify right side
    16,543.76x = 216,206,806.93
  5. Step 5: Solve for x
    x = 216,206,806.93/16,543.76
  6. Step 6: Final answer
    x = 13,068.79

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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.