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Finding the Fourth Proportional to 14,686.09, 20,266.95 and 7,971.78

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Solution

The fourth proportional to 14,686.09, 20,266.95 and 7,971.78 is: 11,001.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.09 : 20,266.95 = 7,971.78 : x
  2. Step 2: Convert to fraction form
    14,686.09/20,266.95 = 7,971.78/x
  3. Step 3: Cross multiply
    14,686.09x = 20,266.95 × 7,971.78
  4. Step 4: Simplify right side
    14,686.09x = 161,563,666.67
  5. Step 5: Solve for x
    x = 161,563,666.67/14,686.09
  6. Step 6: Final answer
    x = 11,001.14

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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.