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Finding the Fourth Proportional to 23,493.84, 32,421.44 and 14,062.40

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Solution

The fourth proportional to 23,493.84, 32,421.44 and 14,062.40 is: 19,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.84 : 32,421.44 = 14,062.40 : x
  2. Step 2: Convert to fraction form
    23,493.84/32,421.44 = 14,062.40/x
  3. Step 3: Cross multiply
    23,493.84x = 32,421.44 × 14,062.40
  4. Step 4: Simplify right side
    23,493.84x = 455,923,257.86
  5. Step 5: Solve for x
    x = 455,923,257.86/23,493.84
  6. Step 6: Final answer
    x = 19,406.08

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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.