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Finding the Fourth Proportional to 13,114.34, 19,649.61 and 5,707.70

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Solution

The fourth proportional to 13,114.34, 19,649.61 and 5,707.70 is: 8,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.34 : 19,649.61 = 5,707.70 : x
  2. Step 2: Convert to fraction form
    13,114.34/19,649.61 = 5,707.70/x
  3. Step 3: Cross multiply
    13,114.34x = 19,649.61 × 5,707.70
  4. Step 4: Simplify right side
    13,114.34x = 112,154,079.00
  5. Step 5: Solve for x
    x = 112,154,079.00/13,114.34
  6. Step 6: Final answer
    x = 8,552.02

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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.