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Finding the Fourth Proportional to 17,778.71, 24,533.93 and 9,820.76

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Solution

The fourth proportional to 17,778.71, 24,533.93 and 9,820.76 is: 13,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.71 : 24,533.93 = 9,820.76 : x
  2. Step 2: Convert to fraction form
    17,778.71/24,533.93 = 9,820.76/x
  3. Step 3: Cross multiply
    17,778.71x = 24,533.93 × 9,820.76
  4. Step 4: Simplify right side
    17,778.71x = 240,941,740.27
  5. Step 5: Solve for x
    x = 240,941,740.27/17,778.71
  6. Step 6: Final answer
    x = 13,552.26

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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.