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Finding the Fourth Proportional to 14,018, 19,370.12 and 10,032.16

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Solution

The fourth proportional to 14,018, 19,370.12 and 10,032.16 is: 13,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,018 : 19,370.12 = 10,032.16 : x
  2. Step 2: Convert to fraction form
    14,018/19,370.12 = 10,032.16/x
  3. Step 3: Cross multiply
    14,018x = 19,370.12 × 10,032.16
  4. Step 4: Simplify right side
    14,018x = 194,324,143.06
  5. Step 5: Solve for x
    x = 194,324,143.06/14,018
  6. Step 6: Final answer
    x = 13,862.47

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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.