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Finding the Fourth Proportional to 13,009.78, 17,953.50 and 7,041.46

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Solution

The fourth proportional to 13,009.78, 17,953.50 and 7,041.46 is: 9,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.78 : 17,953.50 = 7,041.46 : x
  2. Step 2: Convert to fraction form
    13,009.78/17,953.50 = 7,041.46/x
  3. Step 3: Cross multiply
    13,009.78x = 17,953.50 × 7,041.46
  4. Step 4: Simplify right side
    13,009.78x = 126,418,852.11
  5. Step 5: Solve for x
    x = 126,418,852.11/13,009.78
  6. Step 6: Final answer
    x = 9,717.22

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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.