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Finding the Fourth Proportional to 19,452.16, 29,178.24 and 15,538.24

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Solution

The fourth proportional to 19,452.16, 29,178.24 and 15,538.24 is: 23,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,452.16 : 29,178.24 = 15,538.24 : x
  2. Step 2: Convert to fraction form
    19,452.16/29,178.24 = 15,538.24/x
  3. Step 3: Cross multiply
    19,452.16x = 29,178.24 × 15,538.24
  4. Step 4: Simplify right side
    19,452.16x = 453,378,495.90
  5. Step 5: Solve for x
    x = 453,378,495.90/19,452.16
  6. Step 6: Final answer
    x = 23,307.36

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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.