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Finding the Fourth Proportional to 13,038.60, 17,993.40 and 7,070.31

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Solution

The fourth proportional to 13,038.60, 17,993.40 and 7,070.31 is: 9,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.60 : 17,993.40 = 7,070.31 : x
  2. Step 2: Convert to fraction form
    13,038.60/17,993.40 = 7,070.31/x
  3. Step 3: Cross multiply
    13,038.60x = 17,993.40 × 7,070.31
  4. Step 4: Simplify right side
    13,038.60x = 127,218,915.95
  5. Step 5: Solve for x
    x = 127,218,915.95/13,038.60
  6. Step 6: Final answer
    x = 9,757.10

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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.