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Finding the Fourth Proportional to 22,596.42, 31,184.93 and 12,528.02

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Solution

The fourth proportional to 22,596.42, 31,184.93 and 12,528.02 is: 17,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.42 : 31,184.93 = 12,528.02 : x
  2. Step 2: Convert to fraction form
    22,596.42/31,184.93 = 12,528.02/x
  3. Step 3: Cross multiply
    22,596.42x = 31,184.93 × 12,528.02
  4. Step 4: Simplify right side
    22,596.42x = 390,685,208.17
  5. Step 5: Solve for x
    x = 390,685,208.17/22,596.42
  6. Step 6: Final answer
    x = 17,289.69

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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.