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Finding the Fourth Proportional to 23,557.84, 32,509.56 and 13,486.12

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Solution

The fourth proportional to 23,557.84, 32,509.56 and 13,486.12 is: 18,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.84 : 32,509.56 = 13,486.12 : x
  2. Step 2: Convert to fraction form
    23,557.84/32,509.56 = 13,486.12/x
  3. Step 3: Cross multiply
    23,557.84x = 32,509.56 × 13,486.12
  4. Step 4: Simplify right side
    23,557.84x = 438,427,827.31
  5. Step 5: Solve for x
    x = 438,427,827.31/23,557.84
  6. Step 6: Final answer
    x = 18,610.70

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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.