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Finding the Fourth Proportional to 13,086.50, 19,603.02 and 10,888.16

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Solution

The fourth proportional to 13,086.50, 19,603.02 and 10,888.16 is: 16,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.50 : 19,603.02 = 10,888.16 : x
  2. Step 2: Convert to fraction form
    13,086.50/19,603.02 = 10,888.16/x
  3. Step 3: Cross multiply
    13,086.50x = 19,603.02 × 10,888.16
  4. Step 4: Simplify right side
    13,086.50x = 213,440,818.24
  5. Step 5: Solve for x
    x = 213,440,818.24/13,086.50
  6. Step 6: Final answer
    x = 16,310.00

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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.