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Finding the Fourth Proportional to 10,677.42, 14,743.62 and 9,068.22

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Solution

The fourth proportional to 10,677.42, 14,743.62 and 9,068.22 is: 12,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.42 : 14,743.62 = 9,068.22 : x
  2. Step 2: Convert to fraction form
    10,677.42/14,743.62 = 9,068.22/x
  3. Step 3: Cross multiply
    10,677.42x = 14,743.62 × 9,068.22
  4. Step 4: Simplify right side
    10,677.42x = 133,698,389.76
  5. Step 5: Solve for x
    x = 133,698,389.76/10,677.42
  6. Step 6: Final answer
    x = 12,521.60

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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.