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Finding the Fourth Proportional to 13,985.66, 19,294.10 and 9,199.46

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Solution

The fourth proportional to 13,985.66, 19,294.10 and 9,199.46 is: 12,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.66 : 19,294.10 = 9,199.46 : x
  2. Step 2: Convert to fraction form
    13,985.66/19,294.10 = 9,199.46/x
  3. Step 3: Cross multiply
    13,985.66x = 19,294.10 × 9,199.46
  4. Step 4: Simplify right side
    13,985.66x = 177,495,158.72
  5. Step 5: Solve for x
    x = 177,495,158.72/13,985.66
  6. Step 6: Final answer
    x = 12,691.23

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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.