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Finding the Fourth Proportional to 25,720.89, 35,492.81 and 14,389.50

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Solution

The fourth proportional to 25,720.89, 35,492.81 and 14,389.50 is: 19,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720.89 : 35,492.81 = 14,389.50 : x
  2. Step 2: Convert to fraction form
    25,720.89/35,492.81 = 14,389.50/x
  3. Step 3: Cross multiply
    25,720.89x = 35,492.81 × 14,389.50
  4. Step 4: Simplify right side
    25,720.89x = 510,723,691.47
  5. Step 5: Solve for x
    x = 510,723,691.47/25,720.89
  6. Step 6: Final answer
    x = 19,856.38

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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.