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Finding the Fourth Proportional to 14,836.47, 22,258.34 and 6,827.49

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Solution

The fourth proportional to 14,836.47, 22,258.34 and 6,827.49 is: 10,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,836.47 : 22,258.34 = 6,827.49 : x
  2. Step 2: Convert to fraction form
    14,836.47/22,258.34 = 6,827.49/x
  3. Step 3: Cross multiply
    14,836.47x = 22,258.34 × 6,827.49
  4. Step 4: Simplify right side
    14,836.47x = 151,968,585.23
  5. Step 5: Solve for x
    x = 151,968,585.23/14,836.47
  6. Step 6: Final answer
    x = 10,242.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.