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Finding the Fourth Proportional to 16,458.46, 22,709.32 and 9,740.74

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Solution

The fourth proportional to 16,458.46, 22,709.32 and 9,740.74 is: 13,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,458.46 : 22,709.32 = 9,740.74 : x
  2. Step 2: Convert to fraction form
    16,458.46/22,709.32 = 9,740.74/x
  3. Step 3: Cross multiply
    16,458.46x = 22,709.32 × 9,740.74
  4. Step 4: Simplify right side
    16,458.46x = 221,205,581.70
  5. Step 5: Solve for x
    x = 221,205,581.70/16,458.46
  6. Step 6: Final answer
    x = 13,440.24

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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.