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Finding the Fourth Proportional to 23,858.63, 32,924.40 and 13,248.08

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Solution

The fourth proportional to 23,858.63, 32,924.40 and 13,248.08 is: 18,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.63 : 32,924.40 = 13,248.08 : x
  2. Step 2: Convert to fraction form
    23,858.63/32,924.40 = 13,248.08/x
  3. Step 3: Cross multiply
    23,858.63x = 32,924.40 × 13,248.08
  4. Step 4: Simplify right side
    23,858.63x = 436,185,085.15
  5. Step 5: Solve for x
    x = 436,185,085.15/23,858.63
  6. Step 6: Final answer
    x = 18,282.07

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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.