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Finding the Fourth Proportional to 12,964.12, 17,888.70 and 7,299.16

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Solution

The fourth proportional to 12,964.12, 17,888.70 and 7,299.16 is: 10,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.12 : 17,888.70 = 7,299.16 : x
  2. Step 2: Convert to fraction form
    12,964.12/17,888.70 = 7,299.16/x
  3. Step 3: Cross multiply
    12,964.12x = 17,888.70 × 7,299.16
  4. Step 4: Simplify right side
    12,964.12x = 130,572,483.49
  5. Step 5: Solve for x
    x = 130,572,483.49/12,964.12
  6. Step 6: Final answer
    x = 10,071.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.