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Finding the Fourth Proportional to 14,642.60, 21,948.14 and 6,326.54

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Solution

The fourth proportional to 14,642.60, 21,948.14 and 6,326.54 is: 9,483.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.60 : 21,948.14 = 6,326.54 : x
  2. Step 2: Convert to fraction form
    14,642.60/21,948.14 = 6,326.54/x
  3. Step 3: Cross multiply
    14,642.60x = 21,948.14 × 6,326.54
  4. Step 4: Simplify right side
    14,642.60x = 138,855,785.64
  5. Step 5: Solve for x
    x = 138,855,785.64/14,642.60
  6. Step 6: Final answer
    x = 9,483.00

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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.