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Finding the Fourth Proportional to 21,726.42, 32,582.88 and 9,246.30

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Solution

The fourth proportional to 21,726.42, 32,582.88 and 9,246.30 is: 13,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.42 : 32,582.88 = 9,246.30 : x
  2. Step 2: Convert to fraction form
    21,726.42/32,582.88 = 9,246.30/x
  3. Step 3: Cross multiply
    21,726.42x = 32,582.88 × 9,246.30
  4. Step 4: Simplify right side
    21,726.42x = 301,271,083.34
  5. Step 5: Solve for x
    x = 301,271,083.34/21,726.42
  6. Step 6: Final answer
    x = 13,866.58

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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.