Home / 19,864.10-29,784-8,023.34

Finding the Fourth Proportional to 19,864.10, 29,784 and 8,023.34

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Solution

The fourth proportional to 19,864.10, 29,784 and 8,023.34 is: 12,030.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864.10 : 29,784 = 8,023.34 : x
  2. Step 2: Convert to fraction form
    19,864.10/29,784 = 8,023.34/x
  3. Step 3: Cross multiply
    19,864.10x = 29,784 × 8,023.34
  4. Step 4: Simplify right side
    19,864.10x = 238,967,158.56
  5. Step 5: Solve for x
    x = 238,967,158.56/19,864.10
  6. Step 6: Final answer
    x = 12,030.10

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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.