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Finding the Fourth Proportional to 15,853.63, 21,878.01 and 8,780.51

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Solution

The fourth proportional to 15,853.63, 21,878.01 and 8,780.51 is: 12,117.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.63 : 21,878.01 = 8,780.51 : x
  2. Step 2: Convert to fraction form
    15,853.63/21,878.01 = 8,780.51/x
  3. Step 3: Cross multiply
    15,853.63x = 21,878.01 × 8,780.51
  4. Step 4: Simplify right side
    15,853.63x = 192,100,085.59
  5. Step 5: Solve for x
    x = 192,100,085.59/15,853.63
  6. Step 6: Final answer
    x = 12,117.10

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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.