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Finding the Fourth Proportional to 14,719.24, 20,302.10 and 9,046.54

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Solution

The fourth proportional to 14,719.24, 20,302.10 and 9,046.54 is: 12,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.24 : 20,302.10 = 9,046.54 : x
  2. Step 2: Convert to fraction form
    14,719.24/20,302.10 = 9,046.54/x
  3. Step 3: Cross multiply
    14,719.24x = 20,302.10 × 9,046.54
  4. Step 4: Simplify right side
    14,719.24x = 183,663,771.83
  5. Step 5: Solve for x
    x = 183,663,771.83/14,719.24
  6. Step 6: Final answer
    x = 12,477.80

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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.