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Finding the Fourth Proportional to 17,823.84, 24,594.76 and 9,865.60

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Solution

The fourth proportional to 17,823.84, 24,594.76 and 9,865.60 is: 13,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.84 : 24,594.76 = 9,865.60 : x
  2. Step 2: Convert to fraction form
    17,823.84/24,594.76 = 9,865.60/x
  3. Step 3: Cross multiply
    17,823.84x = 24,594.76 × 9,865.60
  4. Step 4: Simplify right side
    17,823.84x = 242,642,064.26
  5. Step 5: Solve for x
    x = 242,642,064.26/17,823.84
  6. Step 6: Final answer
    x = 13,613.34

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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.