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Finding the Fourth Proportional to 23,820.63, 32,878.89 and 14,862.84

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Solution

The fourth proportional to 23,820.63, 32,878.89 and 14,862.84 is: 20,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.63 : 32,878.89 = 14,862.84 : x
  2. Step 2: Convert to fraction form
    23,820.63/32,878.89 = 14,862.84/x
  3. Step 3: Cross multiply
    23,820.63x = 32,878.89 × 14,862.84
  4. Step 4: Simplify right side
    23,820.63x = 488,673,681.45
  5. Step 5: Solve for x
    x = 488,673,681.45/23,820.63
  6. Step 6: Final answer
    x = 20,514.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.