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Finding the Fourth Proportional to 25,002.51, 37,503.80 and 10,211.42

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Solution

The fourth proportional to 25,002.51, 37,503.80 and 10,211.42 is: 15,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,002.51 : 37,503.80 = 10,211.42 : x
  2. Step 2: Convert to fraction form
    25,002.51/37,503.80 = 10,211.42/x
  3. Step 3: Cross multiply
    25,002.51x = 37,503.80 × 10,211.42
  4. Step 4: Simplify right side
    25,002.51x = 382,966,814.82
  5. Step 5: Solve for x
    x = 382,966,814.82/25,002.51
  6. Step 6: Final answer
    x = 15,317.13

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