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Finding the Fourth Proportional to 24,507.86, 36,750.78 and 6,973.52

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Solution

The fourth proportional to 24,507.86, 36,750.78 and 6,973.52 is: 10,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.86 : 36,750.78 = 6,973.52 : x
  2. Step 2: Convert to fraction form
    24,507.86/36,750.78 = 6,973.52/x
  3. Step 3: Cross multiply
    24,507.86x = 36,750.78 × 6,973.52
  4. Step 4: Simplify right side
    24,507.86x = 256,282,115.59
  5. Step 5: Solve for x
    x = 256,282,115.59/24,507.86
  6. Step 6: Final answer
    x = 10,457.14

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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.