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Finding the Fourth Proportional to 15,794.16, 21,798.72 and 9,421.14

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Solution

The fourth proportional to 15,794.16, 21,798.72 and 9,421.14 is: 13,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.16 : 21,798.72 = 9,421.14 : x
  2. Step 2: Convert to fraction form
    15,794.16/21,798.72 = 9,421.14/x
  3. Step 3: Cross multiply
    15,794.16x = 21,798.72 × 9,421.14
  4. Step 4: Simplify right side
    15,794.16x = 205,368,874.69
  5. Step 5: Solve for x
    x = 205,368,874.69/15,794.16
  6. Step 6: Final answer
    x = 13,002.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.