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Finding the Fourth Proportional to 28,024.48, 42,036.72 and 9,556

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Solution

The fourth proportional to 28,024.48, 42,036.72 and 9,556 is: 14,334

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,024.48 : 42,036.72 = 9,556 : x
  2. Step 2: Convert to fraction form
    28,024.48/42,036.72 = 9,556/x
  3. Step 3: Cross multiply
    28,024.48x = 42,036.72 × 9,556
  4. Step 4: Simplify right side
    28,024.48x = 401,702,896.32
  5. Step 5: Solve for x
    x = 401,702,896.32/28,024.48
  6. Step 6: Final answer
    x = 14,334

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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.