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Finding the Fourth Proportional to 12,606.48, 17,395.90 and 7,301.64

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Solution

The fourth proportional to 12,606.48, 17,395.90 and 7,301.64 is: 10,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.48 : 17,395.90 = 7,301.64 : x
  2. Step 2: Convert to fraction form
    12,606.48/17,395.90 = 7,301.64/x
  3. Step 3: Cross multiply
    12,606.48x = 17,395.90 × 7,301.64
  4. Step 4: Simplify right side
    12,606.48x = 127,018,599.28
  5. Step 5: Solve for x
    x = 127,018,599.28/12,606.48
  6. Step 6: Final answer
    x = 10,075.66

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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.