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Finding the Fourth Proportional to 15,871.92, 21,893.29 and 10,214.00

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Solution

The fourth proportional to 15,871.92, 21,893.29 and 10,214.00 is: 14,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.92 : 21,893.29 = 10,214.00 : x
  2. Step 2: Convert to fraction form
    15,871.92/21,893.29 = 10,214.00/x
  3. Step 3: Cross multiply
    15,871.92x = 21,893.29 × 10,214.00
  4. Step 4: Simplify right side
    15,871.92x = 223,618,011.16
  5. Step 5: Solve for x
    x = 223,618,011.16/15,871.92
  6. Step 6: Final answer
    x = 14,088.91

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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.