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Finding the Fourth Proportional to 23,235.12, 32,051.88 and 14,721.84

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Solution

The fourth proportional to 23,235.12, 32,051.88 and 14,721.84 is: 20,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235.12 : 32,051.88 = 14,721.84 : x
  2. Step 2: Convert to fraction form
    23,235.12/32,051.88 = 14,721.84/x
  3. Step 3: Cross multiply
    23,235.12x = 32,051.88 × 14,721.84
  4. Step 4: Simplify right side
    23,235.12x = 471,862,649.06
  5. Step 5: Solve for x
    x = 471,862,649.06/23,235.12
  6. Step 6: Final answer
    x = 20,308.16

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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.