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Finding the Fourth Proportional to 14,316.33, 19,758.30 and 9,011.07

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Solution

The fourth proportional to 14,316.33, 19,758.30 and 9,011.07 is: 12,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316.33 : 19,758.30 = 9,011.07 : x
  2. Step 2: Convert to fraction form
    14,316.33/19,758.30 = 9,011.07/x
  3. Step 3: Cross multiply
    14,316.33x = 19,758.30 × 9,011.07
  4. Step 4: Simplify right side
    14,316.33x = 178,043,424.38
  5. Step 5: Solve for x
    x = 178,043,424.38/14,316.33
  6. Step 6: Final answer
    x = 12,436.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.