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Finding the Fourth Proportional to 19,654.83, 29,471.31 and 6,503.67

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Solution

The fourth proportional to 19,654.83, 29,471.31 and 6,503.67 is: 9,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.83 : 29,471.31 = 6,503.67 : x
  2. Step 2: Convert to fraction form
    19,654.83/29,471.31 = 6,503.67/x
  3. Step 3: Cross multiply
    19,654.83x = 29,471.31 × 6,503.67
  4. Step 4: Simplify right side
    19,654.83x = 191,671,674.71
  5. Step 5: Solve for x
    x = 191,671,674.71/19,654.83
  6. Step 6: Final answer
    x = 9,751.89

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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.