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Finding the Fourth Proportional to 16,488.84, 22,756.92 and 9,415.68

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Solution

The fourth proportional to 16,488.84, 22,756.92 and 9,415.68 is: 12,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.84 : 22,756.92 = 9,415.68 : x
  2. Step 2: Convert to fraction form
    16,488.84/22,756.92 = 9,415.68/x
  3. Step 3: Cross multiply
    16,488.84x = 22,756.92 × 9,415.68
  4. Step 4: Simplify right side
    16,488.84x = 214,271,876.51
  5. Step 5: Solve for x
    x = 214,271,876.51/16,488.84
  6. Step 6: Final answer
    x = 12,994.96

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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.