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Finding the Fourth Proportional to 13,775.85, 19,009.38 and 7,807.95

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Solution

The fourth proportional to 13,775.85, 19,009.38 and 7,807.95 is: 10,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.85 : 19,009.38 = 7,807.95 : x
  2. Step 2: Convert to fraction form
    13,775.85/19,009.38 = 7,807.95/x
  3. Step 3: Cross multiply
    13,775.85x = 19,009.38 × 7,807.95
  4. Step 4: Simplify right side
    13,775.85x = 148,424,288.57
  5. Step 5: Solve for x
    x = 148,424,288.57/13,775.85
  6. Step 6: Final answer
    x = 10,774.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.