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Finding the Fourth Proportional to 19,448.16, 29,172.24 and 15,534.24

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Solution

The fourth proportional to 19,448.16, 29,172.24 and 15,534.24 is: 23,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,448.16 : 29,172.24 = 15,534.24 : x
  2. Step 2: Convert to fraction form
    19,448.16/29,172.24 = 15,534.24/x
  3. Step 3: Cross multiply
    19,448.16x = 29,172.24 × 15,534.24
  4. Step 4: Simplify right side
    19,448.16x = 453,168,577.50
  5. Step 5: Solve for x
    x = 453,168,577.50/19,448.16
  6. Step 6: Final answer
    x = 23,301.36

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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.