Home / 12,714.16-19,036-9,584.68

Finding the Fourth Proportional to 12,714.16, 19,036 and 9,584.68

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Solution

The fourth proportional to 12,714.16, 19,036 and 9,584.68 is: 14,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.16 : 19,036 = 9,584.68 : x
  2. Step 2: Convert to fraction form
    12,714.16/19,036 = 9,584.68/x
  3. Step 3: Cross multiply
    12,714.16x = 19,036 × 9,584.68
  4. Step 4: Simplify right side
    12,714.16x = 182,453,968.48
  5. Step 5: Solve for x
    x = 182,453,968.48/12,714.16
  6. Step 6: Final answer
    x = 14,350.45

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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.