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Finding the Fourth Proportional to 14,328.16, 21,494.40 and 5,092

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Solution

The fourth proportional to 14,328.16, 21,494.40 and 5,092 is: 7,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328.16 : 21,494.40 = 5,092 : x
  2. Step 2: Convert to fraction form
    14,328.16/21,494.40 = 5,092/x
  3. Step 3: Cross multiply
    14,328.16x = 21,494.40 × 5,092
  4. Step 4: Simplify right side
    14,328.16x = 109,449,484.80
  5. Step 5: Solve for x
    x = 109,449,484.80/14,328.16
  6. Step 6: Final answer
    x = 7,638.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.