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Finding the Fourth Proportional to 13,089.90, 19,605.42 and 10,159.32

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Solution

The fourth proportional to 13,089.90, 19,605.42 and 10,159.32 is: 15,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.90 : 19,605.42 = 10,159.32 : x
  2. Step 2: Convert to fraction form
    13,089.90/19,605.42 = 10,159.32/x
  3. Step 3: Cross multiply
    13,089.90x = 19,605.42 × 10,159.32
  4. Step 4: Simplify right side
    13,089.90x = 199,177,735.51
  5. Step 5: Solve for x
    x = 199,177,735.51/13,089.90
  6. Step 6: Final answer
    x = 15,216.14

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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.