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Finding the Fourth Proportional to 21,830.58, 32,718.47 and 9,335.91

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Solution

The fourth proportional to 21,830.58, 32,718.47 and 9,335.91 is: 13,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.58 : 32,718.47 = 9,335.91 : x
  2. Step 2: Convert to fraction form
    21,830.58/32,718.47 = 9,335.91/x
  3. Step 3: Cross multiply
    21,830.58x = 32,718.47 × 9,335.91
  4. Step 4: Simplify right side
    21,830.58x = 305,456,691.26
  5. Step 5: Solve for x
    x = 305,456,691.26/21,830.58
  6. Step 6: Final answer
    x = 13,992.15

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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.