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Finding the Fourth Proportional to 13,009.75, 17,953.46 and 7,041.42

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Solution

The fourth proportional to 13,009.75, 17,953.46 and 7,041.42 is: 9,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.75 : 17,953.46 = 7,041.42 : x
  2. Step 2: Convert to fraction form
    13,009.75/17,953.46 = 7,041.42/x
  3. Step 3: Cross multiply
    13,009.75x = 17,953.46 × 7,041.42
  4. Step 4: Simplify right side
    13,009.75x = 126,417,834.71
  5. Step 5: Solve for x
    x = 126,417,834.71/13,009.75
  6. Step 6: Final answer
    x = 9,717.16

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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.