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Finding the Fourth Proportional to 13,006.88, 19,510.10 and 3,146.08

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Solution

The fourth proportional to 13,006.88, 19,510.10 and 3,146.08 is: 4,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.88 : 19,510.10 = 3,146.08 : x
  2. Step 2: Convert to fraction form
    13,006.88/19,510.10 = 3,146.08/x
  3. Step 3: Cross multiply
    13,006.88x = 19,510.10 × 3,146.08
  4. Step 4: Simplify right side
    13,006.88x = 61,380,335.41
  5. Step 5: Solve for x
    x = 61,380,335.41/13,006.88
  6. Step 6: Final answer
    x = 4,719.07

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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.