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Finding the Fourth Proportional to 13,106.29, 18,103.99 and 9,710.20

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Solution

The fourth proportional to 13,106.29, 18,103.99 and 9,710.20 is: 13,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.29 : 18,103.99 = 9,710.20 : x
  2. Step 2: Convert to fraction form
    13,106.29/18,103.99 = 9,710.20/x
  3. Step 3: Cross multiply
    13,106.29x = 18,103.99 × 9,710.20
  4. Step 4: Simplify right side
    13,106.29x = 175,793,294.16
  5. Step 5: Solve for x
    x = 175,793,294.16/13,106.29
  6. Step 6: Final answer
    x = 13,412.90

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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.