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Finding the Fourth Proportional to 22,577.69, 31,156.86 and 12,368.64

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Solution

The fourth proportional to 22,577.69, 31,156.86 and 12,368.64 is: 17,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.69 : 31,156.86 = 12,368.64 : x
  2. Step 2: Convert to fraction form
    22,577.69/31,156.86 = 12,368.64/x
  3. Step 3: Cross multiply
    22,577.69x = 31,156.86 × 12,368.64
  4. Step 4: Simplify right side
    22,577.69x = 385,367,845.14
  5. Step 5: Solve for x
    x = 385,367,845.14/22,577.69
  6. Step 6: Final answer
    x = 17,068.53

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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.