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Finding the Fourth Proportional to 15,892.83, 21,929.67 and 9,517.93

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Solution

The fourth proportional to 15,892.83, 21,929.67 and 9,517.93 is: 13,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.83 : 21,929.67 = 9,517.93 : x
  2. Step 2: Convert to fraction form
    15,892.83/21,929.67 = 9,517.93/x
  3. Step 3: Cross multiply
    15,892.83x = 21,929.67 × 9,517.93
  4. Step 4: Simplify right side
    15,892.83x = 208,725,009.16
  5. Step 5: Solve for x
    x = 208,725,009.16/15,892.83
  6. Step 6: Final answer
    x = 13,133.28

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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.