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Finding the Fourth Proportional to 24,323.34, 36,499.59 and 8,742.18

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Solution

The fourth proportional to 24,323.34, 36,499.59 and 8,742.18 is: 13,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323.34 : 36,499.59 = 8,742.18 : x
  2. Step 2: Convert to fraction form
    24,323.34/36,499.59 = 8,742.18/x
  3. Step 3: Cross multiply
    24,323.34x = 36,499.59 × 8,742.18
  4. Step 4: Simplify right side
    24,323.34x = 319,085,985.71
  5. Step 5: Solve for x
    x = 319,085,985.71/24,323.34
  6. Step 6: Final answer
    x = 13,118.51

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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.