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Finding the Fourth Proportional to 11,598.40, 17,312.72 and 9,965.44

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Solution

The fourth proportional to 11,598.40, 17,312.72 and 9,965.44 is: 14,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.40 : 17,312.72 = 9,965.44 : x
  2. Step 2: Convert to fraction form
    11,598.40/17,312.72 = 9,965.44/x
  3. Step 3: Cross multiply
    11,598.40x = 17,312.72 × 9,965.44
  4. Step 4: Simplify right side
    11,598.40x = 172,528,872.40
  5. Step 5: Solve for x
    x = 172,528,872.40/11,598.40
  6. Step 6: Final answer
    x = 14,875.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.