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Finding the Fourth Proportional to 13,095.29, 19,648.13 and 4,775.87

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Solution

The fourth proportional to 13,095.29, 19,648.13 and 4,775.87 is: 7,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.29 : 19,648.13 = 4,775.87 : x
  2. Step 2: Convert to fraction form
    13,095.29/19,648.13 = 4,775.87/x
  3. Step 3: Cross multiply
    13,095.29x = 19,648.13 × 4,775.87
  4. Step 4: Simplify right side
    13,095.29x = 93,836,792.50
  5. Step 5: Solve for x
    x = 93,836,792.50/13,095.29
  6. Step 6: Final answer
    x = 7,165.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.