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Finding the Fourth Proportional to 13,281.84, 19,931.82 and 8,604

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Solution

The fourth proportional to 13,281.84, 19,931.82 and 8,604 is: 12,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.84 : 19,931.82 = 8,604 : x
  2. Step 2: Convert to fraction form
    13,281.84/19,931.82 = 8,604/x
  3. Step 3: Cross multiply
    13,281.84x = 19,931.82 × 8,604
  4. Step 4: Simplify right side
    13,281.84x = 171,493,379.28
  5. Step 5: Solve for x
    x = 171,493,379.28/13,281.84
  6. Step 6: Final answer
    x = 12,911.87

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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.