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Finding the Fourth Proportional to 23,510.70, 32,442.70 and 13,437.14

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Solution

The fourth proportional to 23,510.70, 32,442.70 and 13,437.14 is: 18,542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,510.70 : 32,442.70 = 13,437.14 : x
  2. Step 2: Convert to fraction form
    23,510.70/32,442.70 = 13,437.14/x
  3. Step 3: Cross multiply
    23,510.70x = 32,442.70 × 13,437.14
  4. Step 4: Simplify right side
    23,510.70x = 435,937,101.88
  5. Step 5: Solve for x
    x = 435,937,101.88/23,510.70
  6. Step 6: Final answer
    x = 18,542.07

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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.