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Finding the Fourth Proportional to 12,598.84, 17,384.56 and 7,561.99

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Solution

The fourth proportional to 12,598.84, 17,384.56 and 7,561.99 is: 10,434.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.84 : 17,384.56 = 7,561.99 : x
  2. Step 2: Convert to fraction form
    12,598.84/17,384.56 = 7,561.99/x
  3. Step 3: Cross multiply
    12,598.84x = 17,384.56 × 7,561.99
  4. Step 4: Simplify right side
    12,598.84x = 131,461,868.87
  5. Step 5: Solve for x
    x = 131,461,868.87/12,598.84
  6. Step 6: Final answer
    x = 10,434.44

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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.