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Finding the Fourth Proportional to 22,875.60, 34,298.80 and 9,721.20

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Solution

The fourth proportional to 22,875.60, 34,298.80 and 9,721.20 is: 14,575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,875.60 : 34,298.80 = 9,721.20 : x
  2. Step 2: Convert to fraction form
    22,875.60/34,298.80 = 9,721.20/x
  3. Step 3: Cross multiply
    22,875.60x = 34,298.80 × 9,721.20
  4. Step 4: Simplify right side
    22,875.60x = 333,425,494.56
  5. Step 5: Solve for x
    x = 333,425,494.56/22,875.60
  6. Step 6: Final answer
    x = 14,575.60

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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.