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Finding the Fourth Proportional to 19,666.77, 29,482.30 and 9,809.07

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Solution

The fourth proportional to 19,666.77, 29,482.30 and 9,809.07 is: 14,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.77 : 29,482.30 = 9,809.07 : x
  2. Step 2: Convert to fraction form
    19,666.77/29,482.30 = 9,809.07/x
  3. Step 3: Cross multiply
    19,666.77x = 29,482.30 × 9,809.07
  4. Step 4: Simplify right side
    19,666.77x = 289,193,944.46
  5. Step 5: Solve for x
    x = 289,193,944.46/19,666.77
  6. Step 6: Final answer
    x = 14,704.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.