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Finding the Fourth Proportional to 24,709.12, 34,102.56 and 14,099.20

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Solution

The fourth proportional to 24,709.12, 34,102.56 and 14,099.20 is: 19,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.12 : 34,102.56 = 14,099.20 : x
  2. Step 2: Convert to fraction form
    24,709.12/34,102.56 = 14,099.20/x
  3. Step 3: Cross multiply
    24,709.12x = 34,102.56 × 14,099.20
  4. Step 4: Simplify right side
    24,709.12x = 480,818,813.95
  5. Step 5: Solve for x
    x = 480,818,813.95/24,709.12
  6. Step 6: Final answer
    x = 19,459.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.