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Finding the Fourth Proportional to 21,463.75, 32,158.09 and 14,894.11

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Solution

The fourth proportional to 21,463.75, 32,158.09 and 14,894.11 is: 22,315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,463.75 : 32,158.09 = 14,894.11 : x
  2. Step 2: Convert to fraction form
    21,463.75/32,158.09 = 14,894.11/x
  3. Step 3: Cross multiply
    21,463.75x = 32,158.09 × 14,894.11
  4. Step 4: Simplify right side
    21,463.75x = 478,966,129.85
  5. Step 5: Solve for x
    x = 478,966,129.85/21,463.75
  6. Step 6: Final answer
    x = 22,315.12

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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.