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Finding the Fourth Proportional to 21,842.16, 32,763.98 and 6,045.87

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Solution

The fourth proportional to 21,842.16, 32,763.98 and 6,045.87 is: 9,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.16 : 32,763.98 = 6,045.87 : x
  2. Step 2: Convert to fraction form
    21,842.16/32,763.98 = 6,045.87/x
  3. Step 3: Cross multiply
    21,842.16x = 32,763.98 × 6,045.87
  4. Step 4: Simplify right side
    21,842.16x = 198,086,763.76
  5. Step 5: Solve for x
    x = 198,086,763.76/21,842.16
  6. Step 6: Final answer
    x = 9,069.01

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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.