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Finding the Fourth Proportional to 13,038.32, 17,992.70 and 7,069.87

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Solution

The fourth proportional to 13,038.32, 17,992.70 and 7,069.87 is: 9,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.32 : 17,992.70 = 7,069.87 : x
  2. Step 2: Convert to fraction form
    13,038.32/17,992.70 = 7,069.87/x
  3. Step 3: Cross multiply
    13,038.32x = 17,992.70 × 7,069.87
  4. Step 4: Simplify right side
    13,038.32x = 127,206,002.16
  5. Step 5: Solve for x
    x = 127,206,002.16/13,038.32
  6. Step 6: Final answer
    x = 9,756.32

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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.