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Finding the Fourth Proportional to 24,708.78, 37,071.40 and 16,421.40

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Solution

The fourth proportional to 24,708.78, 37,071.40 and 16,421.40 is: 24,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708.78 : 37,071.40 = 16,421.40 : x
  2. Step 2: Convert to fraction form
    24,708.78/37,071.40 = 16,421.40/x
  3. Step 3: Cross multiply
    24,708.78x = 37,071.40 × 16,421.40
  4. Step 4: Simplify right side
    24,708.78x = 608,764,287.96
  5. Step 5: Solve for x
    x = 608,764,287.96/24,708.78
  6. Step 6: Final answer
    x = 24,637.57

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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.