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Finding the Fourth Proportional to 23,106.65, 31,887.18 and 13,035.06

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Solution

The fourth proportional to 23,106.65, 31,887.18 and 13,035.06 is: 17,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,106.65 : 31,887.18 = 13,035.06 : x
  2. Step 2: Convert to fraction form
    23,106.65/31,887.18 = 13,035.06/x
  3. Step 3: Cross multiply
    23,106.65x = 31,887.18 × 13,035.06
  4. Step 4: Simplify right side
    23,106.65x = 415,651,304.53
  5. Step 5: Solve for x
    x = 415,651,304.53/23,106.65
  6. Step 6: Final answer
    x = 17,988.39

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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.