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Finding the Fourth Proportional to 13,076.64, 19,613.52 and 5,677.20

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Solution

The fourth proportional to 13,076.64, 19,613.52 and 5,677.20 is: 8,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.64 : 19,613.52 = 5,677.20 : x
  2. Step 2: Convert to fraction form
    13,076.64/19,613.52 = 5,677.20/x
  3. Step 3: Cross multiply
    13,076.64x = 19,613.52 × 5,677.20
  4. Step 4: Simplify right side
    13,076.64x = 111,349,875.74
  5. Step 5: Solve for x
    x = 111,349,875.74/13,076.64
  6. Step 6: Final answer
    x = 8,515.17

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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.