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Finding the Fourth Proportional to 23,709.29, 35,582.30 and 8,931.65

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Solution

The fourth proportional to 23,709.29, 35,582.30 and 8,931.65 is: 13,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.29 : 35,582.30 = 8,931.65 : x
  2. Step 2: Convert to fraction form
    23,709.29/35,582.30 = 8,931.65/x
  3. Step 3: Cross multiply
    23,709.29x = 35,582.30 × 8,931.65
  4. Step 4: Simplify right side
    23,709.29x = 317,808,427.23
  5. Step 5: Solve for x
    x = 317,808,427.23/23,709.29
  6. Step 6: Final answer
    x = 13,404.39

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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.