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Finding the Fourth Proportional to 12,714.91, 19,032.19 and 11,377.50

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Solution

The fourth proportional to 12,714.91, 19,032.19 and 11,377.50 is: 17,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.91 : 19,032.19 = 11,377.50 : x
  2. Step 2: Convert to fraction form
    12,714.91/19,032.19 = 11,377.50/x
  3. Step 3: Cross multiply
    12,714.91x = 19,032.19 × 11,377.50
  4. Step 4: Simplify right side
    12,714.91x = 216,538,741.73
  5. Step 5: Solve for x
    x = 216,538,741.73/12,714.91
  6. Step 6: Final answer
    x = 17,030.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.