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Finding the Fourth Proportional to 15,534.50, 21,439.64 and 9,246.88

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Solution

The fourth proportional to 15,534.50, 21,439.64 and 9,246.88 is: 12,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.50 : 21,439.64 = 9,246.88 : x
  2. Step 2: Convert to fraction form
    15,534.50/21,439.64 = 9,246.88/x
  3. Step 3: Cross multiply
    15,534.50x = 21,439.64 × 9,246.88
  4. Step 4: Simplify right side
    15,534.50x = 198,249,624.89
  5. Step 5: Solve for x
    x = 198,249,624.89/15,534.50
  6. Step 6: Final answer
    x = 12,761.89

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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.