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Finding the Fourth Proportional to 25,651.40, 38,482.06 and 9,855.24

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Solution

The fourth proportional to 25,651.40, 38,482.06 and 9,855.24 is: 14,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.40 : 38,482.06 = 9,855.24 : x
  2. Step 2: Convert to fraction form
    25,651.40/38,482.06 = 9,855.24/x
  3. Step 3: Cross multiply
    25,651.40x = 38,482.06 × 9,855.24
  4. Step 4: Simplify right side
    25,651.40x = 379,249,936.99
  5. Step 5: Solve for x
    x = 379,249,936.99/25,651.40
  6. Step 6: Final answer
    x = 14,784.77

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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.