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Finding the Fourth Proportional to 25,737, 35,521.98 and 14,559

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Solution

The fourth proportional to 25,737, 35,521.98 and 14,559 is: 20,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,737 : 35,521.98 = 14,559 : x
  2. Step 2: Convert to fraction form
    25,737/35,521.98 = 14,559/x
  3. Step 3: Cross multiply
    25,737x = 35,521.98 × 14,559
  4. Step 4: Simplify right side
    25,737x = 517,164,506.82
  5. Step 5: Solve for x
    x = 517,164,506.82/25,737
  6. Step 6: Final answer
    x = 20,094.20

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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.