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Finding the Fourth Proportional to 15,820.80, 21,831.93 and 8,746.80

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Solution

The fourth proportional to 15,820.80, 21,831.93 and 8,746.80 is: 12,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.80 : 21,831.93 = 8,746.80 : x
  2. Step 2: Convert to fraction form
    15,820.80/21,831.93 = 8,746.80/x
  3. Step 3: Cross multiply
    15,820.80x = 21,831.93 × 8,746.80
  4. Step 4: Simplify right side
    15,820.80x = 190,959,525.32
  5. Step 5: Solve for x
    x = 190,959,525.32/15,820.80
  6. Step 6: Final answer
    x = 12,070.16

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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.