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Finding the Fourth Proportional to 24,602.68, 36,881.28 and 9,808

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Solution

The fourth proportional to 24,602.68, 36,881.28 and 9,808 is: 14,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,602.68 : 36,881.28 = 9,808 : x
  2. Step 2: Convert to fraction form
    24,602.68/36,881.28 = 9,808/x
  3. Step 3: Cross multiply
    24,602.68x = 36,881.28 × 9,808
  4. Step 4: Simplify right side
    24,602.68x = 361,731,594.24
  5. Step 5: Solve for x
    x = 361,731,594.24/24,602.68
  6. Step 6: Final answer
    x = 14,702.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.