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Finding the Fourth Proportional to 13,862.10, 19,130.13 and 7,574.34

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Solution

The fourth proportional to 13,862.10, 19,130.13 and 7,574.34 is: 10,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.10 : 19,130.13 = 7,574.34 : x
  2. Step 2: Convert to fraction form
    13,862.10/19,130.13 = 7,574.34/x
  3. Step 3: Cross multiply
    13,862.10x = 19,130.13 × 7,574.34
  4. Step 4: Simplify right side
    13,862.10x = 144,898,108.86
  5. Step 5: Solve for x
    x = 144,898,108.86/13,862.10
  6. Step 6: Final answer
    x = 10,452.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.