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Finding the Fourth Proportional to 15,789.16, 23,678.94 and 6,553

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Solution

The fourth proportional to 15,789.16, 23,678.94 and 6,553 is: 9,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,789.16 : 23,678.94 = 6,553 : x
  2. Step 2: Convert to fraction form
    15,789.16/23,678.94 = 6,553/x
  3. Step 3: Cross multiply
    15,789.16x = 23,678.94 × 6,553
  4. Step 4: Simplify right side
    15,789.16x = 155,168,093.82
  5. Step 5: Solve for x
    x = 155,168,093.82/15,789.16
  6. Step 6: Final answer
    x = 9,827.51

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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.