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Finding the Fourth Proportional to 22,428.29, 33,643.35 and 8,386.89

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Solution

The fourth proportional to 22,428.29, 33,643.35 and 8,386.89 is: 12,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,428.29 : 33,643.35 = 8,386.89 : x
  2. Step 2: Convert to fraction form
    22,428.29/33,643.35 = 8,386.89/x
  3. Step 3: Cross multiply
    22,428.29x = 33,643.35 × 8,386.89
  4. Step 4: Simplify right side
    22,428.29x = 282,163,075.68
  5. Step 5: Solve for x
    x = 282,163,075.68/22,428.29
  6. Step 6: Final answer
    x = 12,580.68

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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.