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Finding the Fourth Proportional to 17,885.25, 24,681.65 and 9,928.76

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Solution

The fourth proportional to 17,885.25, 24,681.65 and 9,928.76 is: 13,701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.25 : 24,681.65 = 9,928.76 : x
  2. Step 2: Convert to fraction form
    17,885.25/24,681.65 = 9,928.76/x
  3. Step 3: Cross multiply
    17,885.25x = 24,681.65 × 9,928.76
  4. Step 4: Simplify right side
    17,885.25x = 245,058,006.20
  5. Step 5: Solve for x
    x = 245,058,006.20/17,885.25
  6. Step 6: Final answer
    x = 13,701.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.