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Finding the Fourth Proportional to 14,484.96, 21,720.96 and 6,696

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Solution

The fourth proportional to 14,484.96, 21,720.96 and 6,696 is: 10,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,484.96 : 21,720.96 = 6,696 : x
  2. Step 2: Convert to fraction form
    14,484.96/21,720.96 = 6,696/x
  3. Step 3: Cross multiply
    14,484.96x = 21,720.96 × 6,696
  4. Step 4: Simplify right side
    14,484.96x = 145,443,548.16
  5. Step 5: Solve for x
    x = 145,443,548.16/14,484.96
  6. Step 6: Final answer
    x = 10,041.00

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Why These Related Problems?

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