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Finding the Fourth Proportional to 24,890.76, 34,345.62 and 14,278.68

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Solution

The fourth proportional to 24,890.76, 34,345.62 and 14,278.68 is: 19,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,890.76 : 34,345.62 = 14,278.68 : x
  2. Step 2: Convert to fraction form
    24,890.76/34,345.62 = 14,278.68/x
  3. Step 3: Cross multiply
    24,890.76x = 34,345.62 × 14,278.68
  4. Step 4: Simplify right side
    24,890.76x = 490,410,117.38
  5. Step 5: Solve for x
    x = 490,410,117.38/24,890.76
  6. Step 6: Final answer
    x = 19,702.50

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Why These Related Problems?

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