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Finding the Fourth Proportional to 16,809.48, 25,214.28 and 7,564.68

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Solution

The fourth proportional to 16,809.48, 25,214.28 and 7,564.68 is: 11,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809.48 : 25,214.28 = 7,564.68 : x
  2. Step 2: Convert to fraction form
    16,809.48/25,214.28 = 7,564.68/x
  3. Step 3: Cross multiply
    16,809.48x = 25,214.28 × 7,564.68
  4. Step 4: Simplify right side
    16,809.48x = 190,737,959.63
  5. Step 5: Solve for x
    x = 190,737,959.63/16,809.48
  6. Step 6: Final answer
    x = 11,347.05

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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.