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Finding the Fourth Proportional to 24,977.25, 37,465.88 and 6,509.25

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Solution

The fourth proportional to 24,977.25, 37,465.88 and 6,509.25 is: 9,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977.25 : 37,465.88 = 6,509.25 : x
  2. Step 2: Convert to fraction form
    24,977.25/37,465.88 = 6,509.25/x
  3. Step 3: Cross multiply
    24,977.25x = 37,465.88 × 6,509.25
  4. Step 4: Simplify right side
    24,977.25x = 243,874,746.84
  5. Step 5: Solve for x
    x = 243,874,746.84/24,977.25
  6. Step 6: Final answer
    x = 9,763.88

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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.