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Finding the Fourth Proportional to 23,415.32, 32,304.10 and 14,447.27

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Solution

The fourth proportional to 23,415.32, 32,304.10 and 14,447.27 is: 19,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.32 : 32,304.10 = 14,447.27 : x
  2. Step 2: Convert to fraction form
    23,415.32/32,304.10 = 14,447.27/x
  3. Step 3: Cross multiply
    23,415.32x = 32,304.10 × 14,447.27
  4. Step 4: Simplify right side
    23,415.32x = 466,706,054.81
  5. Step 5: Solve for x
    x = 466,706,054.81/23,415.32
  6. Step 6: Final answer
    x = 19,931.65

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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.