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Finding the Fourth Proportional to 11,646.47, 16,068.62 and 10,523.81

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Solution

The fourth proportional to 11,646.47, 16,068.62 and 10,523.81 is: 14,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.47 : 16,068.62 = 10,523.81 : x
  2. Step 2: Convert to fraction form
    11,646.47/16,068.62 = 10,523.81/x
  3. Step 3: Cross multiply
    11,646.47x = 16,068.62 × 10,523.81
  4. Step 4: Simplify right side
    11,646.47x = 169,102,970.88
  5. Step 5: Solve for x
    x = 169,102,970.88/11,646.47
  6. Step 6: Final answer
    x = 14,519.68

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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.