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Finding the Fourth Proportional to 13,598.48, 20,395.19 and 5,698.86

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Solution

The fourth proportional to 13,598.48, 20,395.19 and 5,698.86 is: 8,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,598.48 : 20,395.19 = 5,698.86 : x
  2. Step 2: Convert to fraction form
    13,598.48/20,395.19 = 5,698.86/x
  3. Step 3: Cross multiply
    13,598.48x = 20,395.19 × 5,698.86
  4. Step 4: Simplify right side
    13,598.48x = 116,229,270.25
  5. Step 5: Solve for x
    x = 116,229,270.25/13,598.48
  6. Step 6: Final answer
    x = 8,547.22

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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.