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Finding the Fourth Proportional to 13,102.48, 19,647.15 and 6,532.30

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Solution

The fourth proportional to 13,102.48, 19,647.15 and 6,532.30 is: 9,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.48 : 19,647.15 = 6,532.30 : x
  2. Step 2: Convert to fraction form
    13,102.48/19,647.15 = 6,532.30/x
  3. Step 3: Cross multiply
    13,102.48x = 19,647.15 × 6,532.30
  4. Step 4: Simplify right side
    13,102.48x = 128,341,077.95
  5. Step 5: Solve for x
    x = 128,341,077.95/13,102.48
  6. Step 6: Final answer
    x = 9,795.17

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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.