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Finding the Fourth Proportional to 16,420.16, 22,667.28 and 10,460

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Solution

The fourth proportional to 16,420.16, 22,667.28 and 10,460 is: 14,439.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.16 : 22,667.28 = 10,460 : x
  2. Step 2: Convert to fraction form
    16,420.16/22,667.28 = 10,460/x
  3. Step 3: Cross multiply
    16,420.16x = 22,667.28 × 10,460
  4. Step 4: Simplify right side
    16,420.16x = 237,099,748.80
  5. Step 5: Solve for x
    x = 237,099,748.80/16,420.16
  6. Step 6: Final answer
    x = 14,439.55

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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.