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Finding the Fourth Proportional to 24,402.84, 36,598.14 and 9,406.95

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Solution

The fourth proportional to 24,402.84, 36,598.14 and 9,406.95 is: 14,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402.84 : 36,598.14 = 9,406.95 : x
  2. Step 2: Convert to fraction form
    24,402.84/36,598.14 = 9,406.95/x
  3. Step 3: Cross multiply
    24,402.84x = 36,598.14 × 9,406.95
  4. Step 4: Simplify right side
    24,402.84x = 344,276,873.07
  5. Step 5: Solve for x
    x = 344,276,873.07/24,402.84
  6. Step 6: Final answer
    x = 14,108.07

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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.