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Finding the Fourth Proportional to 25,465.21, 38,210.95 and 11,435

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Solution

The fourth proportional to 25,465.21, 38,210.95 and 11,435 is: 17,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,465.21 : 38,210.95 = 11,435 : x
  2. Step 2: Convert to fraction form
    25,465.21/38,210.95 = 11,435/x
  3. Step 3: Cross multiply
    25,465.21x = 38,210.95 × 11,435
  4. Step 4: Simplify right side
    25,465.21x = 436,942,213.25
  5. Step 5: Solve for x
    x = 436,942,213.25/25,465.21
  6. Step 6: Final answer
    x = 17,158.40

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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.