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Finding the Fourth Proportional to 21,045.89, 31,565.57 and 7,006.10

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Solution

The fourth proportional to 21,045.89, 31,565.57 and 7,006.10 is: 10,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,045.89 : 31,565.57 = 7,006.10 : x
  2. Step 2: Convert to fraction form
    21,045.89/31,565.57 = 7,006.10/x
  3. Step 3: Cross multiply
    21,045.89x = 31,565.57 × 7,006.10
  4. Step 4: Simplify right side
    21,045.89x = 221,151,347.12
  5. Step 5: Solve for x
    x = 221,151,347.12/21,045.89
  6. Step 6: Final answer
    x = 10,508.05

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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.