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Finding the Fourth Proportional to 24,312, 36,482.34 and 10,271.11

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Solution

The fourth proportional to 24,312, 36,482.34 and 10,271.11 is: 15,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,312 : 36,482.34 = 10,271.11 : x
  2. Step 2: Convert to fraction form
    24,312/36,482.34 = 10,271.11/x
  3. Step 3: Cross multiply
    24,312x = 36,482.34 × 10,271.11
  4. Step 4: Simplify right side
    24,312x = 374,714,127.20
  5. Step 5: Solve for x
    x = 374,714,127.20/24,312
  6. Step 6: Final answer
    x = 15,412.72

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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.