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Finding the Fourth Proportional to 14,532.40, 21,767.61 and 7,024.62

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Solution

The fourth proportional to 14,532.40, 21,767.61 and 7,024.62 is: 10,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.40 : 21,767.61 = 7,024.62 : x
  2. Step 2: Convert to fraction form
    14,532.40/21,767.61 = 7,024.62/x
  3. Step 3: Cross multiply
    14,532.40x = 21,767.61 × 7,024.62
  4. Step 4: Simplify right side
    14,532.40x = 152,909,188.56
  5. Step 5: Solve for x
    x = 152,909,188.56/14,532.40
  6. Step 6: Final answer
    x = 10,521.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.