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Finding the Fourth Proportional to 13,038.59, 17,969.15 and 9,261.90

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Solution

The fourth proportional to 13,038.59, 17,969.15 and 9,261.90 is: 12,764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.59 : 17,969.15 = 9,261.90 : x
  2. Step 2: Convert to fraction form
    13,038.59/17,969.15 = 9,261.90/x
  3. Step 3: Cross multiply
    13,038.59x = 17,969.15 × 9,261.90
  4. Step 4: Simplify right side
    13,038.59x = 166,428,424.08
  5. Step 5: Solve for x
    x = 166,428,424.08/13,038.59
  6. Step 6: Final answer
    x = 12,764.30

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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.