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Finding the Fourth Proportional to 24,178.42, 33,363.93 and 13,565.98

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Solution

The fourth proportional to 24,178.42, 33,363.93 and 13,565.98 is: 18,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.42 : 33,363.93 = 13,565.98 : x
  2. Step 2: Convert to fraction form
    24,178.42/33,363.93 = 13,565.98/x
  3. Step 3: Cross multiply
    24,178.42x = 33,363.93 × 13,565.98
  4. Step 4: Simplify right side
    24,178.42x = 452,614,407.10
  5. Step 5: Solve for x
    x = 452,614,407.10/24,178.42
  6. Step 6: Final answer
    x = 18,719.77

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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.