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Finding the Fourth Proportional to 13,862.91, 19,131.08 and 7,575.51

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Solution

The fourth proportional to 13,862.91, 19,131.08 and 7,575.51 is: 10,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.91 : 19,131.08 = 7,575.51 : x
  2. Step 2: Convert to fraction form
    13,862.91/19,131.08 = 7,575.51/x
  3. Step 3: Cross multiply
    13,862.91x = 19,131.08 × 7,575.51
  4. Step 4: Simplify right side
    13,862.91x = 144,927,649.97
  5. Step 5: Solve for x
    x = 144,927,649.97/13,862.91
  6. Step 6: Final answer
    x = 10,454.35

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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.