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Finding the Fourth Proportional to 12,697.32, 19,050.30 and 6,537

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Solution

The fourth proportional to 12,697.32, 19,050.30 and 6,537 is: 9,807.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.32 : 19,050.30 = 6,537 : x
  2. Step 2: Convert to fraction form
    12,697.32/19,050.30 = 6,537/x
  3. Step 3: Cross multiply
    12,697.32x = 19,050.30 × 6,537
  4. Step 4: Simplify right side
    12,697.32x = 124,531,811.10
  5. Step 5: Solve for x
    x = 124,531,811.10/12,697.32
  6. Step 6: Final answer
    x = 9,807.72

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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.