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Finding the Fourth Proportional to 23,697.84, 32,702.94 and 14,266.92

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Solution

The fourth proportional to 23,697.84, 32,702.94 and 14,266.92 is: 19,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,697.84 : 32,702.94 = 14,266.92 : x
  2. Step 2: Convert to fraction form
    23,697.84/32,702.94 = 14,266.92/x
  3. Step 3: Cross multiply
    23,697.84x = 32,702.94 × 14,266.92
  4. Step 4: Simplify right side
    23,697.84x = 466,570,228.74
  5. Step 5: Solve for x
    x = 466,570,228.74/23,697.84
  6. Step 6: Final answer
    x = 19,688.30

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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.