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Finding the Fourth Proportional to 19,709.83, 29,549.71 and 9,856.08

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Solution

The fourth proportional to 19,709.83, 29,549.71 and 9,856.08 is: 14,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.83 : 29,549.71 = 9,856.08 : x
  2. Step 2: Convert to fraction form
    19,709.83/29,549.71 = 9,856.08/x
  3. Step 3: Cross multiply
    19,709.83x = 29,549.71 × 9,856.08
  4. Step 4: Simplify right side
    19,709.83x = 291,244,318.06
  5. Step 5: Solve for x
    x = 291,244,318.06/19,709.83
  6. Step 6: Final answer
    x = 14,776.60

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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.