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Finding the Fourth Proportional to 13,113.71, 19,642.82 and 10,604.13

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Solution

The fourth proportional to 13,113.71, 19,642.82 and 10,604.13 is: 15,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.71 : 19,642.82 = 10,604.13 : x
  2. Step 2: Convert to fraction form
    13,113.71/19,642.82 = 10,604.13/x
  3. Step 3: Cross multiply
    13,113.71x = 19,642.82 × 10,604.13
  4. Step 4: Simplify right side
    13,113.71x = 208,294,963.83
  5. Step 5: Solve for x
    x = 208,294,963.83/13,113.71
  6. Step 6: Final answer
    x = 15,883.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.