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Finding the Fourth Proportional to 15,590.50, 23,394.21 and 9,029.50

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Solution

The fourth proportional to 15,590.50, 23,394.21 and 9,029.50 is: 13,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,590.50 : 23,394.21 = 9,029.50 : x
  2. Step 2: Convert to fraction form
    15,590.50/23,394.21 = 9,029.50/x
  3. Step 3: Cross multiply
    15,590.50x = 23,394.21 × 9,029.50
  4. Step 4: Simplify right side
    15,590.50x = 211,238,019.20
  5. Step 5: Solve for x
    x = 211,238,019.20/15,590.50
  6. Step 6: Final answer
    x = 13,549.15

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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.