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Finding the Fourth Proportional to 25,720.81, 35,492.38 and 16,289.17

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Solution

The fourth proportional to 25,720.81, 35,492.38 and 16,289.17 is: 22,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720.81 : 35,492.38 = 16,289.17 : x
  2. Step 2: Convert to fraction form
    25,720.81/35,492.38 = 16,289.17/x
  3. Step 3: Cross multiply
    25,720.81x = 35,492.38 × 16,289.17
  4. Step 4: Simplify right side
    25,720.81x = 578,141,411.52
  5. Step 5: Solve for x
    x = 578,141,411.52/25,720.81
  6. Step 6: Final answer
    x = 22,477.57

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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.