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Finding the Fourth Proportional to 13,013.12, 19,524.80 and 5,712

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Solution

The fourth proportional to 13,013.12, 19,524.80 and 5,712 is: 8,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.12 : 19,524.80 = 5,712 : x
  2. Step 2: Convert to fraction form
    13,013.12/19,524.80 = 5,712/x
  3. Step 3: Cross multiply
    13,013.12x = 19,524.80 × 5,712
  4. Step 4: Simplify right side
    13,013.12x = 111,525,657.60
  5. Step 5: Solve for x
    x = 111,525,657.60/13,013.12
  6. Step 6: Final answer
    x = 8,570.25

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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.