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Finding the Fourth Proportional to 12,970.32, 19,473.50 and 9,012.25

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Solution

The fourth proportional to 12,970.32, 19,473.50 and 9,012.25 is: 13,530.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.32 : 19,473.50 = 9,012.25 : x
  2. Step 2: Convert to fraction form
    12,970.32/19,473.50 = 9,012.25/x
  3. Step 3: Cross multiply
    12,970.32x = 19,473.50 × 9,012.25
  4. Step 4: Simplify right side
    12,970.32x = 175,500,050.38
  5. Step 5: Solve for x
    x = 175,500,050.38/12,970.32
  6. Step 6: Final answer
    x = 13,530.90

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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.