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Finding the Fourth Proportional to 24,572.88, 36,837.18 and 9,778.50

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Solution

The fourth proportional to 24,572.88, 36,837.18 and 9,778.50 is: 14,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572.88 : 36,837.18 = 9,778.50 : x
  2. Step 2: Convert to fraction form
    24,572.88/36,837.18 = 9,778.50/x
  3. Step 3: Cross multiply
    24,572.88x = 36,837.18 × 9,778.50
  4. Step 4: Simplify right side
    24,572.88x = 360,212,364.63
  5. Step 5: Solve for x
    x = 360,212,364.63/24,572.88
  6. Step 6: Final answer
    x = 14,658.94

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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.