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Finding the Fourth Proportional to 13,857.39, 19,123.65 and 7,570.17

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Solution

The fourth proportional to 13,857.39, 19,123.65 and 7,570.17 is: 10,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.39 : 19,123.65 = 7,570.17 : x
  2. Step 2: Convert to fraction form
    13,857.39/19,123.65 = 7,570.17/x
  3. Step 3: Cross multiply
    13,857.39x = 19,123.65 × 7,570.17
  4. Step 4: Simplify right side
    13,857.39x = 144,769,281.52
  5. Step 5: Solve for x
    x = 144,769,281.52/13,857.39
  6. Step 6: Final answer
    x = 10,447.08

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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.