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Finding the Fourth Proportional to 25,492.41, 38,250 and 13,005.86

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Solution

The fourth proportional to 25,492.41, 38,250 and 13,005.86 is: 19,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492.41 : 38,250 = 13,005.86 : x
  2. Step 2: Convert to fraction form
    25,492.41/38,250 = 13,005.86/x
  3. Step 3: Cross multiply
    25,492.41x = 38,250 × 13,005.86
  4. Step 4: Simplify right side
    25,492.41x = 497,473,953.75
  5. Step 5: Solve for x
    x = 497,473,953.75/25,492.41
  6. Step 6: Final answer
    x = 19,514.59

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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.