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Finding the Fourth Proportional to 24,595.14, 36,894.33 and 7,065.12

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Solution

The fourth proportional to 24,595.14, 36,894.33 and 7,065.12 is: 10,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,595.14 : 36,894.33 = 7,065.12 : x
  2. Step 2: Convert to fraction form
    24,595.14/36,894.33 = 7,065.12/x
  3. Step 3: Cross multiply
    24,595.14x = 36,894.33 × 7,065.12
  4. Step 4: Simplify right side
    24,595.14x = 260,662,868.77
  5. Step 5: Solve for x
    x = 260,662,868.77/24,595.14
  6. Step 6: Final answer
    x = 10,598.15

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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.