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Finding the Fourth Proportional to 19,693.84, 27,152 and 14,663.76

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Solution

The fourth proportional to 19,693.84, 27,152 and 14,663.76 is: 20,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.84 : 27,152 = 14,663.76 : x
  2. Step 2: Convert to fraction form
    19,693.84/27,152 = 14,663.76/x
  3. Step 3: Cross multiply
    19,693.84x = 27,152 × 14,663.76
  4. Step 4: Simplify right side
    19,693.84x = 398,150,411.52
  5. Step 5: Solve for x
    x = 398,150,411.52/19,693.84
  6. Step 6: Final answer
    x = 20,217.00

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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.