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Finding the Fourth Proportional to 30,712.86, 42,384.58 and 17,284.59

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Solution

The fourth proportional to 30,712.86, 42,384.58 and 17,284.59 is: 23,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.86 : 42,384.58 = 17,284.59 : x
  2. Step 2: Convert to fraction form
    30,712.86/42,384.58 = 17,284.59/x
  3. Step 3: Cross multiply
    30,712.86x = 42,384.58 × 17,284.59
  4. Step 4: Simplify right side
    30,712.86x = 732,600,044.41
  5. Step 5: Solve for x
    x = 732,600,044.41/30,712.86
  6. Step 6: Final answer
    x = 23,853.20

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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.