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Finding the Fourth Proportional to 23,338.64, 32,197.80 and 14,259.28

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Solution

The fourth proportional to 23,338.64, 32,197.80 and 14,259.28 is: 19,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338.64 : 32,197.80 = 14,259.28 : x
  2. Step 2: Convert to fraction form
    23,338.64/32,197.80 = 14,259.28/x
  3. Step 3: Cross multiply
    23,338.64x = 32,197.80 × 14,259.28
  4. Step 4: Simplify right side
    23,338.64x = 459,117,445.58
  5. Step 5: Solve for x
    x = 459,117,445.58/23,338.64
  6. Step 6: Final answer
    x = 19,671.99

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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.