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Finding the Fourth Proportional to 15,500.36, 21,375.78 and 10,465.40

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Solution

The fourth proportional to 15,500.36, 21,375.78 and 10,465.40 is: 14,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500.36 : 21,375.78 = 10,465.40 : x
  2. Step 2: Convert to fraction form
    15,500.36/21,375.78 = 10,465.40/x
  3. Step 3: Cross multiply
    15,500.36x = 21,375.78 × 10,465.40
  4. Step 4: Simplify right side
    15,500.36x = 223,706,088.01
  5. Step 5: Solve for x
    x = 223,706,088.01/15,500.36
  6. Step 6: Final answer
    x = 14,432.32

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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.