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Finding the Fourth Proportional to 24,751.60, 37,118.75 and 9,956.68

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Solution

The fourth proportional to 24,751.60, 37,118.75 and 9,956.68 is: 14,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.60 : 37,118.75 = 9,956.68 : x
  2. Step 2: Convert to fraction form
    24,751.60/37,118.75 = 9,956.68/x
  3. Step 3: Cross multiply
    24,751.60x = 37,118.75 × 9,956.68
  4. Step 4: Simplify right side
    24,751.60x = 369,579,330.16
  5. Step 5: Solve for x
    x = 369,579,330.16/24,751.60
  6. Step 6: Final answer
    x = 14,931.54

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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.