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Finding the Fourth Proportional to 25,988.70, 35,864.36 and 14,658.16

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Solution

The fourth proportional to 25,988.70, 35,864.36 and 14,658.16 is: 20,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.70 : 35,864.36 = 14,658.16 : x
  2. Step 2: Convert to fraction form
    25,988.70/35,864.36 = 14,658.16/x
  3. Step 3: Cross multiply
    25,988.70x = 35,864.36 × 14,658.16
  4. Step 4: Simplify right side
    25,988.70x = 525,705,616.84
  5. Step 5: Solve for x
    x = 525,705,616.84/25,988.70
  6. Step 6: Final answer
    x = 20,228.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.