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Finding the Fourth Proportional to 12,834.84, 19,248.48 and 4,513.32

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Solution

The fourth proportional to 12,834.84, 19,248.48 and 4,513.32 is: 6,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.84 : 19,248.48 = 4,513.32 : x
  2. Step 2: Convert to fraction form
    12,834.84/19,248.48 = 4,513.32/x
  3. Step 3: Cross multiply
    12,834.84x = 19,248.48 × 4,513.32
  4. Step 4: Simplify right side
    12,834.84x = 86,874,549.75
  5. Step 5: Solve for x
    x = 86,874,549.75/12,834.84
  6. Step 6: Final answer
    x = 6,768.65

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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.