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Finding the Fourth Proportional to 15,675.84, 23,509.44 and 11,256.48

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Solution

The fourth proportional to 15,675.84, 23,509.44 and 11,256.48 is: 16,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.84 : 23,509.44 = 11,256.48 : x
  2. Step 2: Convert to fraction form
    15,675.84/23,509.44 = 11,256.48/x
  3. Step 3: Cross multiply
    15,675.84x = 23,509.44 × 11,256.48
  4. Step 4: Simplify right side
    15,675.84x = 264,633,541.17
  5. Step 5: Solve for x
    x = 264,633,541.17/15,675.84
  6. Step 6: Final answer
    x = 16,881.62

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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.