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Finding the Fourth Proportional to 16,417.79, 22,657.43 and 9,346.49

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Solution

The fourth proportional to 16,417.79, 22,657.43 and 9,346.49 is: 12,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.79 : 22,657.43 = 9,346.49 : x
  2. Step 2: Convert to fraction form
    16,417.79/22,657.43 = 9,346.49/x
  3. Step 3: Cross multiply
    16,417.79x = 22,657.43 × 9,346.49
  4. Step 4: Simplify right side
    16,417.79x = 211,767,396.19
  5. Step 5: Solve for x
    x = 211,767,396.19/16,417.79
  6. Step 6: Final answer
    x = 12,898.65

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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.