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Finding the Fourth Proportional to 15,710.34, 21,667.98 and 9,738.63

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Solution

The fourth proportional to 15,710.34, 21,667.98 and 9,738.63 is: 13,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.34 : 21,667.98 = 9,738.63 : x
  2. Step 2: Convert to fraction form
    15,710.34/21,667.98 = 9,738.63/x
  3. Step 3: Cross multiply
    15,710.34x = 21,667.98 × 9,738.63
  4. Step 4: Simplify right side
    15,710.34x = 211,016,440.07
  5. Step 5: Solve for x
    x = 211,016,440.07/15,710.34
  6. Step 6: Final answer
    x = 13,431.69

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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.