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Finding the Fourth Proportional to 17,458.30, 24,094.47 and 10,384.66

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Solution

The fourth proportional to 17,458.30, 24,094.47 and 10,384.66 is: 14,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.30 : 24,094.47 = 10,384.66 : x
  2. Step 2: Convert to fraction form
    17,458.30/24,094.47 = 10,384.66/x
  3. Step 3: Cross multiply
    17,458.30x = 24,094.47 × 10,384.66
  4. Step 4: Simplify right side
    17,458.30x = 250,212,878.83
  5. Step 5: Solve for x
    x = 250,212,878.83/17,458.30
  6. Step 6: Final answer
    x = 14,332.03

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