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Finding the Fourth Proportional to 16,699, 25,026.63 and 9,306.94

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Solution

The fourth proportional to 16,699, 25,026.63 and 9,306.94 is: 13,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699 : 25,026.63 = 9,306.94 : x
  2. Step 2: Convert to fraction form
    16,699/25,026.63 = 9,306.94/x
  3. Step 3: Cross multiply
    16,699x = 25,026.63 × 9,306.94
  4. Step 4: Simplify right side
    16,699x = 232,921,343.81
  5. Step 5: Solve for x
    x = 232,921,343.81/16,699
  6. Step 6: Final answer
    x = 13,948.22

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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.