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Finding the Fourth Proportional to 24,607.29, 36,908.59 and 9,812.25

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Solution

The fourth proportional to 24,607.29, 36,908.59 and 9,812.25 is: 14,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,607.29 : 36,908.59 = 9,812.25 : x
  2. Step 2: Convert to fraction form
    24,607.29/36,908.59 = 9,812.25/x
  3. Step 3: Cross multiply
    24,607.29x = 36,908.59 × 9,812.25
  4. Step 4: Simplify right side
    24,607.29x = 362,156,312.23
  5. Step 5: Solve for x
    x = 362,156,312.23/24,607.29
  6. Step 6: Final answer
    x = 14,717.44

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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.