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Finding the Fourth Proportional to 19,709.84, 29,585.40 and 9,860.24

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Solution

The fourth proportional to 19,709.84, 29,585.40 and 9,860.24 is: 14,800.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.84 : 29,585.40 = 9,860.24 : x
  2. Step 2: Convert to fraction form
    19,709.84/29,585.40 = 9,860.24/x
  3. Step 3: Cross multiply
    19,709.84x = 29,585.40 × 9,860.24
  4. Step 4: Simplify right side
    19,709.84x = 291,719,144.50
  5. Step 5: Solve for x
    x = 291,719,144.50/19,709.84
  6. Step 6: Final answer
    x = 14,800.69

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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.