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Finding the Fourth Proportional to 21,246.02, 31,869.02 and 6,454.88

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Solution

The fourth proportional to 21,246.02, 31,869.02 and 6,454.88 is: 9,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,246.02 : 31,869.02 = 6,454.88 : x
  2. Step 2: Convert to fraction form
    21,246.02/31,869.02 = 6,454.88/x
  3. Step 3: Cross multiply
    21,246.02x = 31,869.02 × 6,454.88
  4. Step 4: Simplify right side
    21,246.02x = 205,710,699.82
  5. Step 5: Solve for x
    x = 205,710,699.82/21,246.02
  6. Step 6: Final answer
    x = 9,682.32

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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.