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Finding the Fourth Proportional to 23,886.64, 32,948.94 and 15,400

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Solution

The fourth proportional to 23,886.64, 32,948.94 and 15,400 is: 21,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.64 : 32,948.94 = 15,400 : x
  2. Step 2: Convert to fraction form
    23,886.64/32,948.94 = 15,400/x
  3. Step 3: Cross multiply
    23,886.64x = 32,948.94 × 15,400
  4. Step 4: Simplify right side
    23,886.64x = 507,413,676.00
  5. Step 5: Solve for x
    x = 507,413,676.00/23,886.64
  6. Step 6: Final answer
    x = 21,242.57

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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.