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Finding the Fourth Proportional to 14,387.64, 19,856.46 and 8,421.24

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Solution

The fourth proportional to 14,387.64, 19,856.46 and 8,421.24 is: 11,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.64 : 19,856.46 = 8,421.24 : x
  2. Step 2: Convert to fraction form
    14,387.64/19,856.46 = 8,421.24/x
  3. Step 3: Cross multiply
    14,387.64x = 19,856.46 × 8,421.24
  4. Step 4: Simplify right side
    14,387.64x = 167,216,015.21
  5. Step 5: Solve for x
    x = 167,216,015.21/14,387.64
  6. Step 6: Final answer
    x = 11,622.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.