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Finding the Fourth Proportional to 25,210.56, 37,807.02 and 7,436.50

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Solution

The fourth proportional to 25,210.56, 37,807.02 and 7,436.50 is: 11,152.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,210.56 : 37,807.02 = 7,436.50 : x
  2. Step 2: Convert to fraction form
    25,210.56/37,807.02 = 7,436.50/x
  3. Step 3: Cross multiply
    25,210.56x = 37,807.02 × 7,436.50
  4. Step 4: Simplify right side
    25,210.56x = 281,152,022.38
  5. Step 5: Solve for x
    x = 281,152,022.38/25,210.56
  6. Step 6: Final answer
    x = 11,152.15

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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.