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Finding the Fourth Proportional to 15,820.52, 21,832.14 and 8,747.06

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Solution

The fourth proportional to 15,820.52, 21,832.14 and 8,747.06 is: 12,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.52 : 21,832.14 = 8,747.06 : x
  2. Step 2: Convert to fraction form
    15,820.52/21,832.14 = 8,747.06/x
  3. Step 3: Cross multiply
    15,820.52x = 21,832.14 × 8,747.06
  4. Step 4: Simplify right side
    15,820.52x = 190,967,038.51
  5. Step 5: Solve for x
    x = 190,967,038.51/15,820.52
  6. Step 6: Final answer
    x = 12,070.84

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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.