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Finding the Fourth Proportional to 21,045.84, 31,564.23 and 7,899.18

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Solution

The fourth proportional to 21,045.84, 31,564.23 and 7,899.18 is: 11,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,045.84 : 31,564.23 = 7,899.18 : x
  2. Step 2: Convert to fraction form
    21,045.84/31,564.23 = 7,899.18/x
  3. Step 3: Cross multiply
    21,045.84x = 31,564.23 × 7,899.18
  4. Step 4: Simplify right side
    21,045.84x = 249,331,534.33
  5. Step 5: Solve for x
    x = 249,331,534.33/21,045.84
  6. Step 6: Final answer
    x = 11,847.07

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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.