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Finding the Fourth Proportional to 15,665.63, 23,498.45 and 5,277.38

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Solution

The fourth proportional to 15,665.63, 23,498.45 and 5,277.38 is: 7,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.63 : 23,498.45 = 5,277.38 : x
  2. Step 2: Convert to fraction form
    15,665.63/23,498.45 = 5,277.38/x
  3. Step 3: Cross multiply
    15,665.63x = 23,498.45 × 5,277.38
  4. Step 4: Simplify right side
    15,665.63x = 124,010,106.18
  5. Step 5: Solve for x
    x = 124,010,106.18/15,665.63
  6. Step 6: Final answer
    x = 7,916.07

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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.