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Finding the Fourth Proportional to 14,686.16, 22,024.57 and 4,823.14

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Solution

The fourth proportional to 14,686.16, 22,024.57 and 4,823.14 is: 7,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.16 : 22,024.57 = 4,823.14 : x
  2. Step 2: Convert to fraction form
    14,686.16/22,024.57 = 4,823.14/x
  3. Step 3: Cross multiply
    14,686.16x = 22,024.57 × 4,823.14
  4. Step 4: Simplify right side
    14,686.16x = 106,227,517.43
  5. Step 5: Solve for x
    x = 106,227,517.43/14,686.16
  6. Step 6: Final answer
    x = 7,233.17

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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.