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Finding the Fourth Proportional to 15,203.42, 20,970.16 and 10,423.80

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Solution

The fourth proportional to 15,203.42, 20,970.16 and 10,423.80 is: 14,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,203.42 : 20,970.16 = 10,423.80 : x
  2. Step 2: Convert to fraction form
    15,203.42/20,970.16 = 10,423.80/x
  3. Step 3: Cross multiply
    15,203.42x = 20,970.16 × 10,423.80
  4. Step 4: Simplify right side
    15,203.42x = 218,588,648.96
  5. Step 5: Solve for x
    x = 218,588,648.96/15,203.42
  6. Step 6: Final answer
    x = 14,377.60

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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.