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Finding the Fourth Proportional to 15,715.80, 21,678.32 and 9,667.08

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Solution

The fourth proportional to 15,715.80, 21,678.32 and 9,667.08 is: 13,334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,715.80 : 21,678.32 = 9,667.08 : x
  2. Step 2: Convert to fraction form
    15,715.80/21,678.32 = 9,667.08/x
  3. Step 3: Cross multiply
    15,715.80x = 21,678.32 × 9,667.08
  4. Step 4: Simplify right side
    15,715.80x = 209,566,053.71
  5. Step 5: Solve for x
    x = 209,566,053.71/15,715.80
  6. Step 6: Final answer
    x = 13,334.74

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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.