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Finding the Fourth Proportional to 13,225.32, 19,812.02 and 7,666.98

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Solution

The fourth proportional to 13,225.32, 19,812.02 and 7,666.98 is: 11,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.32 : 19,812.02 = 7,666.98 : x
  2. Step 2: Convert to fraction form
    13,225.32/19,812.02 = 7,666.98/x
  3. Step 3: Cross multiply
    13,225.32x = 19,812.02 × 7,666.98
  4. Step 4: Simplify right side
    13,225.32x = 151,898,322.76
  5. Step 5: Solve for x
    x = 151,898,322.76/13,225.32
  6. Step 6: Final answer
    x = 11,485.42

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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.