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Finding the Fourth Proportional to 15,014, 22,569.60 and 13,931.84

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Solution

The fourth proportional to 15,014, 22,569.60 and 13,931.84 is: 20,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,014 : 22,569.60 = 13,931.84 : x
  2. Step 2: Convert to fraction form
    15,014/22,569.60 = 13,931.84/x
  3. Step 3: Cross multiply
    15,014x = 22,569.60 × 13,931.84
  4. Step 4: Simplify right side
    15,014x = 314,436,056.06
  5. Step 5: Solve for x
    x = 314,436,056.06/15,014
  6. Step 6: Final answer
    x = 20,942.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.