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Finding the Fourth Proportional to 24,292.47, 36,459.47 and 9,511.76

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Solution

The fourth proportional to 24,292.47, 36,459.47 and 9,511.76 is: 14,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.47 : 36,459.47 = 9,511.76 : x
  2. Step 2: Convert to fraction form
    24,292.47/36,459.47 = 9,511.76/x
  3. Step 3: Cross multiply
    24,292.47x = 36,459.47 × 9,511.76
  4. Step 4: Simplify right side
    24,292.47x = 346,793,498.51
  5. Step 5: Solve for x
    x = 346,793,498.51/24,292.47
  6. Step 6: Final answer
    x = 14,275.76

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1.5x scale

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.