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Finding the Fourth Proportional to 25,666.50, 35,419.77 and 14,488.50

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Solution

The fourth proportional to 25,666.50, 35,419.77 and 14,488.50 is: 19,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.50 : 35,419.77 = 14,488.50 : x
  2. Step 2: Convert to fraction form
    25,666.50/35,419.77 = 14,488.50/x
  3. Step 3: Cross multiply
    25,666.50x = 35,419.77 × 14,488.50
  4. Step 4: Simplify right side
    25,666.50x = 513,179,337.65
  5. Step 5: Solve for x
    x = 513,179,337.65/25,666.50
  6. Step 6: Final answer
    x = 19,994.13

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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.