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Finding the Fourth Proportional to 22,547.40, 33,822.58 and 5,907.84

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Solution

The fourth proportional to 22,547.40, 33,822.58 and 5,907.84 is: 8,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,547.40 : 33,822.58 = 5,907.84 : x
  2. Step 2: Convert to fraction form
    22,547.40/33,822.58 = 5,907.84/x
  3. Step 3: Cross multiply
    22,547.40x = 33,822.58 × 5,907.84
  4. Step 4: Simplify right side
    22,547.40x = 199,818,391.03
  5. Step 5: Solve for x
    x = 199,818,391.03/22,547.40
  6. Step 6: Final answer
    x = 8,862.15

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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.