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Finding the Fourth Proportional to 24,259.47, 36,380.10 and 8,460.45

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Solution

The fourth proportional to 24,259.47, 36,380.10 and 8,460.45 is: 12,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259.47 : 36,380.10 = 8,460.45 : x
  2. Step 2: Convert to fraction form
    24,259.47/36,380.10 = 8,460.45/x
  3. Step 3: Cross multiply
    24,259.47x = 36,380.10 × 8,460.45
  4. Step 4: Simplify right side
    24,259.47x = 307,792,048.77
  5. Step 5: Solve for x
    x = 307,792,048.77/24,259.47
  6. Step 6: Final answer
    x = 12,687.50

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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.