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Finding the Fourth Proportional to 17,461, 24,097.62 and 10,010.44

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Solution

The fourth proportional to 17,461, 24,097.62 and 10,010.44 is: 13,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461 : 24,097.62 = 10,010.44 : x
  2. Step 2: Convert to fraction form
    17,461/24,097.62 = 10,010.44/x
  3. Step 3: Cross multiply
    17,461x = 24,097.62 × 10,010.44
  4. Step 4: Simplify right side
    17,461x = 241,227,779.15
  5. Step 5: Solve for x
    x = 241,227,779.15/17,461
  6. Step 6: Final answer
    x = 13,815.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.