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Finding the Fourth Proportional to 14,314.38, 19,754.76 and 9,526.08

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Solution

The fourth proportional to 14,314.38, 19,754.76 and 9,526.08 is: 13,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.38 : 19,754.76 = 9,526.08 : x
  2. Step 2: Convert to fraction form
    14,314.38/19,754.76 = 9,526.08/x
  3. Step 3: Cross multiply
    14,314.38x = 19,754.76 × 9,526.08
  4. Step 4: Simplify right side
    14,314.38x = 188,185,424.14
  5. Step 5: Solve for x
    x = 188,185,424.14/14,314.38
  6. Step 6: Final answer
    x = 13,146.60

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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.