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Finding the Fourth Proportional to 22,648.69, 31,254.14 and 12,577.77

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Solution

The fourth proportional to 22,648.69, 31,254.14 and 12,577.77 is: 17,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.69 : 31,254.14 = 12,577.77 : x
  2. Step 2: Convert to fraction form
    22,648.69/31,254.14 = 12,577.77/x
  3. Step 3: Cross multiply
    22,648.69x = 31,254.14 × 12,577.77
  4. Step 4: Simplify right side
    22,648.69x = 393,107,384.47
  5. Step 5: Solve for x
    x = 393,107,384.47/22,648.69
  6. Step 6: Final answer
    x = 17,356.74

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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.