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Finding the Fourth Proportional to 25,598.67, 38,406.75 and 15,623.40

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Solution

The fourth proportional to 25,598.67, 38,406.75 and 15,623.40 is: 23,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598.67 : 38,406.75 = 15,623.40 : x
  2. Step 2: Convert to fraction form
    25,598.67/38,406.75 = 15,623.40/x
  3. Step 3: Cross multiply
    25,598.67x = 38,406.75 × 15,623.40
  4. Step 4: Simplify right side
    25,598.67x = 600,044,017.95
  5. Step 5: Solve for x
    x = 600,044,017.95/25,598.67
  6. Step 6: Final answer
    x = 23,440.44

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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.