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Finding the Fourth Proportional to 16,541.97, 22,829.88 and 9,470.67

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Solution

The fourth proportional to 16,541.97, 22,829.88 and 9,470.67 is: 13,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.97 : 22,829.88 = 9,470.67 : x
  2. Step 2: Convert to fraction form
    16,541.97/22,829.88 = 9,470.67/x
  3. Step 3: Cross multiply
    16,541.97x = 22,829.88 × 9,470.67
  4. Step 4: Simplify right side
    16,541.97x = 216,214,259.62
  5. Step 5: Solve for x
    x = 216,214,259.62/16,541.97
  6. Step 6: Final answer
    x = 13,070.65

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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.