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Finding the Fourth Proportional to 19,047.78, 28,565.34 and 6,567.50

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Solution

The fourth proportional to 19,047.78, 28,565.34 and 6,567.50 is: 9,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,047.78 : 28,565.34 = 6,567.50 : x
  2. Step 2: Convert to fraction form
    19,047.78/28,565.34 = 6,567.50/x
  3. Step 3: Cross multiply
    19,047.78x = 28,565.34 × 6,567.50
  4. Step 4: Simplify right side
    19,047.78x = 187,602,727.62
  5. Step 5: Solve for x
    x = 187,602,727.62/19,047.78
  6. Step 6: Final answer
    x = 9,849.06

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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.