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Finding the Fourth Proportional to 13,857.88, 19,123.97 and 7,570.25

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Solution

The fourth proportional to 13,857.88, 19,123.97 and 7,570.25 is: 10,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.88 : 19,123.97 = 7,570.25 : x
  2. Step 2: Convert to fraction form
    13,857.88/19,123.97 = 7,570.25/x
  3. Step 3: Cross multiply
    13,857.88x = 19,123.97 × 7,570.25
  4. Step 4: Simplify right side
    13,857.88x = 144,773,196.04
  5. Step 5: Solve for x
    x = 144,773,196.04/13,857.88
  6. Step 6: Final answer
    x = 10,447.00

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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.