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Finding the Fourth Proportional to 24,433.13, 36,632.88 and 9,643.74

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Solution

The fourth proportional to 24,433.13, 36,632.88 and 9,643.74 is: 14,458.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,433.13 : 36,632.88 = 9,643.74 : x
  2. Step 2: Convert to fraction form
    24,433.13/36,632.88 = 9,643.74/x
  3. Step 3: Cross multiply
    24,433.13x = 36,632.88 × 9,643.74
  4. Step 4: Simplify right side
    24,433.13x = 353,277,970.17
  5. Step 5: Solve for x
    x = 353,277,970.17/24,433.13
  6. Step 6: Final answer
    x = 14,458.98

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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.