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Finding the Fourth Proportional to 22,656.80, 31,266.45 and 12,585.96

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Solution

The fourth proportional to 22,656.80, 31,266.45 and 12,585.96 is: 17,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.80 : 31,266.45 = 12,585.96 : x
  2. Step 2: Convert to fraction form
    22,656.80/31,266.45 = 12,585.96/x
  3. Step 3: Cross multiply
    22,656.80x = 31,266.45 × 12,585.96
  4. Step 4: Simplify right side
    22,656.80x = 393,518,289.04
  5. Step 5: Solve for x
    x = 393,518,289.04/22,656.80
  6. Step 6: Final answer
    x = 17,368.67

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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.