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Finding the Fourth Proportional to 15,420.40, 23,123.76 and 7,098.40

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Solution

The fourth proportional to 15,420.40, 23,123.76 and 7,098.40 is: 10,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420.40 : 23,123.76 = 7,098.40 : x
  2. Step 2: Convert to fraction form
    15,420.40/23,123.76 = 7,098.40/x
  3. Step 3: Cross multiply
    15,420.40x = 23,123.76 × 7,098.40
  4. Step 4: Simplify right side
    15,420.40x = 164,141,697.98
  5. Step 5: Solve for x
    x = 164,141,697.98/15,420.40
  6. Step 6: Final answer
    x = 10,644.45

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1.5x scale

Why These Related Problems?

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