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Finding the Fourth Proportional to 12,748, 19,129.56 and 5,823.04

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Solution

The fourth proportional to 12,748, 19,129.56 and 5,823.04 is: 8,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748 : 19,129.56 = 5,823.04 : x
  2. Step 2: Convert to fraction form
    12,748/19,129.56 = 5,823.04/x
  3. Step 3: Cross multiply
    12,748x = 19,129.56 × 5,823.04
  4. Step 4: Simplify right side
    12,748x = 111,392,193.06
  5. Step 5: Solve for x
    x = 111,392,193.06/12,748
  6. Step 6: Final answer
    x = 8,738.01

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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.