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Finding the Fourth Proportional to 15,842.30, 21,867.83 and 9,130.60

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Solution

The fourth proportional to 15,842.30, 21,867.83 and 9,130.60 is: 12,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.30 : 21,867.83 = 9,130.60 : x
  2. Step 2: Convert to fraction form
    15,842.30/21,867.83 = 9,130.60/x
  3. Step 3: Cross multiply
    15,842.30x = 21,867.83 × 9,130.60
  4. Step 4: Simplify right side
    15,842.30x = 199,666,376.75
  5. Step 5: Solve for x
    x = 199,666,376.75/15,842.30
  6. Step 6: Final answer
    x = 12,603.37

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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.