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Finding the Fourth Proportional to 25,068.19, 37,602.94 and 7,298.13

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Solution

The fourth proportional to 25,068.19, 37,602.94 and 7,298.13 is: 10,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,068.19 : 37,602.94 = 7,298.13 : x
  2. Step 2: Convert to fraction form
    25,068.19/37,602.94 = 7,298.13/x
  3. Step 3: Cross multiply
    25,068.19x = 37,602.94 × 7,298.13
  4. Step 4: Simplify right side
    25,068.19x = 274,431,144.50
  5. Step 5: Solve for x
    x = 274,431,144.50/25,068.19
  6. Step 6: Final answer
    x = 10,947.39

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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.