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Finding the Fourth Proportional to 14,082.16, 19,424.92 and 9,302.16

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Solution

The fourth proportional to 14,082.16, 19,424.92 and 9,302.16 is: 12,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.16 : 19,424.92 = 9,302.16 : x
  2. Step 2: Convert to fraction form
    14,082.16/19,424.92 = 9,302.16/x
  3. Step 3: Cross multiply
    14,082.16x = 19,424.92 × 9,302.16
  4. Step 4: Simplify right side
    14,082.16x = 180,693,713.83
  5. Step 5: Solve for x
    x = 180,693,713.83/14,082.16
  6. Step 6: Final answer
    x = 12,831.39

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1.5x scale

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.