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Finding the Fourth Proportional to 24,709.88, 34,099.65 and 14,102.93

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Solution

The fourth proportional to 24,709.88, 34,099.65 and 14,102.93 is: 19,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.88 : 34,099.65 = 14,102.93 : x
  2. Step 2: Convert to fraction form
    24,709.88/34,099.65 = 14,102.93/x
  3. Step 3: Cross multiply
    24,709.88x = 34,099.65 × 14,102.93
  4. Step 4: Simplify right side
    24,709.88x = 480,904,806.48
  5. Step 5: Solve for x
    x = 480,904,806.48/24,709.88
  6. Step 6: Final answer
    x = 19,462.05

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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.