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Finding the Fourth Proportional to 15,589.60, 23,384.24 and 9,011.60

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Solution

The fourth proportional to 15,589.60, 23,384.24 and 9,011.60 is: 13,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.60 : 23,384.24 = 9,011.60 : x
  2. Step 2: Convert to fraction form
    15,589.60/23,384.24 = 9,011.60/x
  3. Step 3: Cross multiply
    15,589.60x = 23,384.24 × 9,011.60
  4. Step 4: Simplify right side
    15,589.60x = 210,729,417.18
  5. Step 5: Solve for x
    x = 210,729,417.18/15,589.60
  6. Step 6: Final answer
    x = 13,517.31

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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.