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Finding the Fourth Proportional to 24,595.02, 36,892.80 and 7,065

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Solution

The fourth proportional to 24,595.02, 36,892.80 and 7,065 is: 10,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,595.02 : 36,892.80 = 7,065 : x
  2. Step 2: Convert to fraction form
    24,595.02/36,892.80 = 7,065/x
  3. Step 3: Cross multiply
    24,595.02x = 36,892.80 × 7,065
  4. Step 4: Simplify right side
    24,595.02x = 260,647,632.00
  5. Step 5: Solve for x
    x = 260,647,632.00/24,595.02
  6. Step 6: Final answer
    x = 10,597.58

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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.