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Finding the Fourth Proportional to 16,865.84, 25,308.68 and 7,506.29

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Solution

The fourth proportional to 16,865.84, 25,308.68 and 7,506.29 is: 11,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.84 : 25,308.68 = 7,506.29 : x
  2. Step 2: Convert to fraction form
    16,865.84/25,308.68 = 7,506.29/x
  3. Step 3: Cross multiply
    16,865.84x = 25,308.68 × 7,506.29
  4. Step 4: Simplify right side
    16,865.84x = 189,974,127.52
  5. Step 5: Solve for x
    x = 189,974,127.52/16,865.84
  6. Step 6: Final answer
    x = 11,263.84

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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.