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Finding the Fourth Proportional to 12,969.32, 19,472.00 and 9,011.25

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Solution

The fourth proportional to 12,969.32, 19,472.00 and 9,011.25 is: 13,529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.32 : 19,472.00 = 9,011.25 : x
  2. Step 2: Convert to fraction form
    12,969.32/19,472.00 = 9,011.25/x
  3. Step 3: Cross multiply
    12,969.32x = 19,472.00 × 9,011.25
  4. Step 4: Simplify right side
    12,969.32x = 175,467,014.94
  5. Step 5: Solve for x
    x = 175,467,014.94/12,969.32
  6. Step 6: Final answer
    x = 13,529.40

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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.