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Finding the Fourth Proportional to 12,970.99, 17,899.23 and 7,666.30

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Solution

The fourth proportional to 12,970.99, 17,899.23 and 7,666.30 is: 10,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.99 : 17,899.23 = 7,666.30 : x
  2. Step 2: Convert to fraction form
    12,970.99/17,899.23 = 7,666.30/x
  3. Step 3: Cross multiply
    12,970.99x = 17,899.23 × 7,666.30
  4. Step 4: Simplify right side
    12,970.99x = 137,220,822.20
  5. Step 5: Solve for x
    x = 137,220,822.20/12,970.99
  6. Step 6: Final answer
    x = 10,579.06

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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.