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Finding the Fourth Proportional to 25,658.40, 35,408.24 and 14,328.08

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Solution

The fourth proportional to 25,658.40, 35,408.24 and 14,328.08 is: 19,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658.40 : 35,408.24 = 14,328.08 : x
  2. Step 2: Convert to fraction form
    25,658.40/35,408.24 = 14,328.08/x
  3. Step 3: Cross multiply
    25,658.40x = 35,408.24 × 14,328.08
  4. Step 4: Simplify right side
    25,658.40x = 507,332,095.38
  5. Step 5: Solve for x
    x = 507,332,095.38/25,658.40
  6. Step 6: Final answer
    x = 19,772.55

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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.