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Finding the Fourth Proportional to 24,743.76, 37,130.22 and 9,954.18

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Solution

The fourth proportional to 24,743.76, 37,130.22 and 9,954.18 is: 14,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743.76 : 37,130.22 = 9,954.18 : x
  2. Step 2: Convert to fraction form
    24,743.76/37,130.22 = 9,954.18/x
  3. Step 3: Cross multiply
    24,743.76x = 37,130.22 × 9,954.18
  4. Step 4: Simplify right side
    24,743.76x = 369,600,893.32
  5. Step 5: Solve for x
    x = 369,600,893.32/24,743.76
  6. Step 6: Final answer
    x = 14,937.14

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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.