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Finding the Fourth Proportional to 13,038.04, 19,542.34 and 6,468.92

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Solution

The fourth proportional to 13,038.04, 19,542.34 and 6,468.92 is: 9,696.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.04 : 19,542.34 = 6,468.92 : x
  2. Step 2: Convert to fraction form
    13,038.04/19,542.34 = 6,468.92/x
  3. Step 3: Cross multiply
    13,038.04x = 19,542.34 × 6,468.92
  4. Step 4: Simplify right side
    13,038.04x = 126,417,834.07
  5. Step 5: Solve for x
    x = 126,417,834.07/13,038.04
  6. Step 6: Final answer
    x = 9,696.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.