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Finding the Fourth Proportional to 24,670, 34,045.41 and 13,492

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Solution

The fourth proportional to 24,670, 34,045.41 and 13,492 is: 18,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670 : 34,045.41 = 13,492 : x
  2. Step 2: Convert to fraction form
    24,670/34,045.41 = 13,492/x
  3. Step 3: Cross multiply
    24,670x = 34,045.41 × 13,492
  4. Step 4: Simplify right side
    24,670x = 459,340,671.72
  5. Step 5: Solve for x
    x = 459,340,671.72/24,670
  6. Step 6: Final answer
    x = 18,619.40

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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.