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Finding the Fourth Proportional to 12,867.60, 19,301.40 and 5,472.30

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Solution

The fourth proportional to 12,867.60, 19,301.40 and 5,472.30 is: 8,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867.60 : 19,301.40 = 5,472.30 : x
  2. Step 2: Convert to fraction form
    12,867.60/19,301.40 = 5,472.30/x
  3. Step 3: Cross multiply
    12,867.60x = 19,301.40 × 5,472.30
  4. Step 4: Simplify right side
    12,867.60x = 105,623,051.22
  5. Step 5: Solve for x
    x = 105,623,051.22/12,867.60
  6. Step 6: Final answer
    x = 8,208.45

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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.