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Finding the Fourth Proportional to 24,303.31, 36,427.86 and 10,259.12

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Solution

The fourth proportional to 24,303.31, 36,427.86 and 10,259.12 is: 15,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,303.31 : 36,427.86 = 10,259.12 : x
  2. Step 2: Convert to fraction form
    24,303.31/36,427.86 = 10,259.12/x
  3. Step 3: Cross multiply
    24,303.31x = 36,427.86 × 10,259.12
  4. Step 4: Simplify right side
    24,303.31x = 373,717,878.15
  5. Step 5: Solve for x
    x = 373,717,878.15/24,303.31
  6. Step 6: Final answer
    x = 15,377.24

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1.5x scale

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.