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Finding the Fourth Proportional to 21,746.48, 32,612.88 and 9,266.24

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Solution

The fourth proportional to 21,746.48, 32,612.88 and 9,266.24 is: 13,896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746.48 : 32,612.88 = 9,266.24 : x
  2. Step 2: Convert to fraction form
    21,746.48/32,612.88 = 9,266.24/x
  3. Step 3: Cross multiply
    21,746.48x = 32,612.88 × 9,266.24
  4. Step 4: Simplify right side
    21,746.48x = 302,198,773.17
  5. Step 5: Solve for x
    x = 302,198,773.17/21,746.48
  6. Step 6: Final answer
    x = 13,896.45

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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.