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Finding the Fourth Proportional to 24,097.60, 36,142.86 and 14,106.96

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Solution

The fourth proportional to 24,097.60, 36,142.86 and 14,106.96 is: 21,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.60 : 36,142.86 = 14,106.96 : x
  2. Step 2: Convert to fraction form
    24,097.60/36,142.86 = 14,106.96/x
  3. Step 3: Cross multiply
    24,097.60x = 36,142.86 × 14,106.96
  4. Step 4: Simplify right side
    24,097.60x = 509,865,853.86
  5. Step 5: Solve for x
    x = 509,865,853.86/24,097.60
  6. Step 6: Final answer
    x = 21,158.37

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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.