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Finding the Fourth Proportional to 19,865.46, 29,804.68 and 9,475.86

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Solution

The fourth proportional to 19,865.46, 29,804.68 and 9,475.86 is: 14,216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.46 : 29,804.68 = 9,475.86 : x
  2. Step 2: Convert to fraction form
    19,865.46/29,804.68 = 9,475.86/x
  3. Step 3: Cross multiply
    19,865.46x = 29,804.68 × 9,475.86
  4. Step 4: Simplify right side
    19,865.46x = 282,424,975.02
  5. Step 5: Solve for x
    x = 282,424,975.02/19,865.46
  6. Step 6: Final answer
    x = 14,216.89

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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.