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Finding the Fourth Proportional to 15,384.61, 23,059 and 7,065.51

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Solution

The fourth proportional to 15,384.61, 23,059 and 7,065.51 is: 10,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.61 : 23,059 = 7,065.51 : x
  2. Step 2: Convert to fraction form
    15,384.61/23,059 = 7,065.51/x
  3. Step 3: Cross multiply
    15,384.61x = 23,059 × 7,065.51
  4. Step 4: Simplify right side
    15,384.61x = 162,923,595.09
  5. Step 5: Solve for x
    x = 162,923,595.09/15,384.61
  6. Step 6: Final answer
    x = 10,590.04

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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.