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Finding the Fourth Proportional to 24,951.76, 34,432.56 and 14,875

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Solution

The fourth proportional to 24,951.76, 34,432.56 and 14,875 is: 20,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951.76 : 34,432.56 = 14,875 : x
  2. Step 2: Convert to fraction form
    24,951.76/34,432.56 = 14,875/x
  3. Step 3: Cross multiply
    24,951.76x = 34,432.56 × 14,875
  4. Step 4: Simplify right side
    24,951.76x = 512,184,330.00
  5. Step 5: Solve for x
    x = 512,184,330.00/24,951.76
  6. Step 6: Final answer
    x = 20,526.98

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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.