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Finding the Fourth Proportional to 17,564.46, 24,237.93 and 10,009.74

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Solution

The fourth proportional to 17,564.46, 24,237.93 and 10,009.74 is: 13,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.46 : 24,237.93 = 10,009.74 : x
  2. Step 2: Convert to fraction form
    17,564.46/24,237.93 = 10,009.74/x
  3. Step 3: Cross multiply
    17,564.46x = 24,237.93 × 10,009.74
  4. Step 4: Simplify right side
    17,564.46x = 242,615,377.44
  5. Step 5: Solve for x
    x = 242,615,377.44/17,564.46
  6. Step 6: Final answer
    x = 13,812.86

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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.