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Finding the Fourth Proportional to 13,001.12, 17,941.42 and 7,032.66

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Solution

The fourth proportional to 13,001.12, 17,941.42 and 7,032.66 is: 9,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.12 : 17,941.42 = 7,032.66 : x
  2. Step 2: Convert to fraction form
    13,001.12/17,941.42 = 7,032.66/x
  3. Step 3: Cross multiply
    13,001.12x = 17,941.42 × 7,032.66
  4. Step 4: Simplify right side
    13,001.12x = 126,176,019.45
  5. Step 5: Solve for x
    x = 126,176,019.45/13,001.12
  6. Step 6: Final answer
    x = 9,705.01

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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.