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Finding the Fourth Proportional to 14,309.16, 19,746.64 and 8,021.53

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Solution

The fourth proportional to 14,309.16, 19,746.64 and 8,021.53 is: 11,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.16 : 19,746.64 = 8,021.53 : x
  2. Step 2: Convert to fraction form
    14,309.16/19,746.64 = 8,021.53/x
  3. Step 3: Cross multiply
    14,309.16x = 19,746.64 × 8,021.53
  4. Step 4: Simplify right side
    14,309.16x = 158,398,254.75
  5. Step 5: Solve for x
    x = 158,398,254.75/14,309.16
  6. Step 6: Final answer
    x = 11,069.71

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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.