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Finding the Fourth Proportional to 24,335.64, 36,503.36 and 9,534.11

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Solution

The fourth proportional to 24,335.64, 36,503.36 and 9,534.11 is: 14,301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,335.64 : 36,503.36 = 9,534.11 : x
  2. Step 2: Convert to fraction form
    24,335.64/36,503.36 = 9,534.11/x
  3. Step 3: Cross multiply
    24,335.64x = 36,503.36 × 9,534.11
  4. Step 4: Simplify right side
    24,335.64x = 348,026,855.18
  5. Step 5: Solve for x
    x = 348,026,855.18/24,335.64
  6. Step 6: Final answer
    x = 14,301.12

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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.