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Finding the Fourth Proportional to 22,709.30, 34,068.02 and 9,382.30

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Solution

The fourth proportional to 22,709.30, 34,068.02 and 9,382.30 is: 14,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.30 : 34,068.02 = 9,382.30 : x
  2. Step 2: Convert to fraction form
    22,709.30/34,068.02 = 9,382.30/x
  3. Step 3: Cross multiply
    22,709.30x = 34,068.02 × 9,382.30
  4. Step 4: Simplify right side
    22,709.30x = 319,636,384.05
  5. Step 5: Solve for x
    x = 319,636,384.05/22,709.30
  6. Step 6: Final answer
    x = 14,075.13

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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.