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Finding the Fourth Proportional to 20,703.80, 31,055.70 and 14,871.80

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Solution

The fourth proportional to 20,703.80, 31,055.70 and 14,871.80 is: 22,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,703.80 : 31,055.70 = 14,871.80 : x
  2. Step 2: Convert to fraction form
    20,703.80/31,055.70 = 14,871.80/x
  3. Step 3: Cross multiply
    20,703.80x = 31,055.70 × 14,871.80
  4. Step 4: Simplify right side
    20,703.80x = 461,854,159.26
  5. Step 5: Solve for x
    x = 461,854,159.26/20,703.80
  6. Step 6: Final answer
    x = 22,307.70

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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.