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Finding the Fourth Proportional to 12,289.59, 18,434.52 and 5,714.01

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Solution

The fourth proportional to 12,289.59, 18,434.52 and 5,714.01 is: 8,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.59 : 18,434.52 = 5,714.01 : x
  2. Step 2: Convert to fraction form
    12,289.59/18,434.52 = 5,714.01/x
  3. Step 3: Cross multiply
    12,289.59x = 18,434.52 × 5,714.01
  4. Step 4: Simplify right side
    12,289.59x = 105,335,031.63
  5. Step 5: Solve for x
    x = 105,335,031.63/12,289.59
  6. Step 6: Final answer
    x = 8,571.08

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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.