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Finding the Fourth Proportional to 22,967.50, 31,697.58 and 14,584

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Solution

The fourth proportional to 22,967.50, 31,697.58 and 14,584 is: 20,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.50 : 31,697.58 = 14,584 : x
  2. Step 2: Convert to fraction form
    22,967.50/31,697.58 = 14,584/x
  3. Step 3: Cross multiply
    22,967.50x = 31,697.58 × 14,584
  4. Step 4: Simplify right side
    22,967.50x = 462,277,506.72
  5. Step 5: Solve for x
    x = 462,277,506.72/22,967.50
  6. Step 6: Final answer
    x = 20,127.46

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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.