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Finding the Fourth Proportional to 22,513.50, 31,068.63 and 12,577.50

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Solution

The fourth proportional to 22,513.50, 31,068.63 and 12,577.50 is: 17,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.50 : 31,068.63 = 12,577.50 : x
  2. Step 2: Convert to fraction form
    22,513.50/31,068.63 = 12,577.50/x
  3. Step 3: Cross multiply
    22,513.50x = 31,068.63 × 12,577.50
  4. Step 4: Simplify right side
    22,513.50x = 390,765,693.83
  5. Step 5: Solve for x
    x = 390,765,693.83/22,513.50
  6. Step 6: Final answer
    x = 17,356.95

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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.