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Finding the Fourth Proportional to 25,023, 37,534.50 and 9,436.98

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Solution

The fourth proportional to 25,023, 37,534.50 and 9,436.98 is: 14,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,023 : 37,534.50 = 9,436.98 : x
  2. Step 2: Convert to fraction form
    25,023/37,534.50 = 9,436.98/x
  3. Step 3: Cross multiply
    25,023x = 37,534.50 × 9,436.98
  4. Step 4: Simplify right side
    25,023x = 354,212,325.81
  5. Step 5: Solve for x
    x = 354,212,325.81/25,023
  6. Step 6: Final answer
    x = 14,155.47

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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.