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Finding the Fourth Proportional to 14,972.16, 20,661.72 and 8,258.01

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Solution

The fourth proportional to 14,972.16, 20,661.72 and 8,258.01 is: 11,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.16 : 20,661.72 = 8,258.01 : x
  2. Step 2: Convert to fraction form
    14,972.16/20,661.72 = 8,258.01/x
  3. Step 3: Cross multiply
    14,972.16x = 20,661.72 × 8,258.01
  4. Step 4: Simplify right side
    14,972.16x = 170,624,690.38
  5. Step 5: Solve for x
    x = 170,624,690.38/14,972.16
  6. Step 6: Final answer
    x = 11,396.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.