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Finding the Fourth Proportional to 15,410, 23,118.84 and 4,466

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Solution

The fourth proportional to 15,410, 23,118.84 and 4,466 is: 6,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410 : 23,118.84 = 4,466 : x
  2. Step 2: Convert to fraction form
    15,410/23,118.84 = 4,466/x
  3. Step 3: Cross multiply
    15,410x = 23,118.84 × 4,466
  4. Step 4: Simplify right side
    15,410x = 103,248,739.44
  5. Step 5: Solve for x
    x = 103,248,739.44/15,410
  6. Step 6: Final answer
    x = 6,700.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.