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Finding the Fourth Proportional to 24,700, 37,055.64 and 7,171.24

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Solution

The fourth proportional to 24,700, 37,055.64 and 7,171.24 is: 10,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700 : 37,055.64 = 7,171.24 : x
  2. Step 2: Convert to fraction form
    24,700/37,055.64 = 7,171.24/x
  3. Step 3: Cross multiply
    24,700x = 37,055.64 × 7,171.24
  4. Step 4: Simplify right side
    24,700x = 265,734,887.79
  5. Step 5: Solve for x
    x = 265,734,887.79/24,700
  6. Step 6: Final answer
    x = 10,758.50

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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.