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Finding the Fourth Proportional to 13,862.40, 19,128.96 and 7,574.76

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Solution

The fourth proportional to 13,862.40, 19,128.96 and 7,574.76 is: 10,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.40 : 19,128.96 = 7,574.76 : x
  2. Step 2: Convert to fraction form
    13,862.40/19,128.96 = 7,574.76/x
  3. Step 3: Cross multiply
    13,862.40x = 19,128.96 × 7,574.76
  4. Step 4: Simplify right side
    13,862.40x = 144,897,281.05
  5. Step 5: Solve for x
    x = 144,897,281.05/13,862.40
  6. Step 6: Final answer
    x = 10,452.54

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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.