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Finding the Fourth Proportional to 16,507.63, 22,780.56 and 9,434.03

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Solution

The fourth proportional to 16,507.63, 22,780.56 and 9,434.03 is: 13,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,507.63 : 22,780.56 = 9,434.03 : x
  2. Step 2: Convert to fraction form
    16,507.63/22,780.56 = 9,434.03/x
  3. Step 3: Cross multiply
    16,507.63x = 22,780.56 × 9,434.03
  4. Step 4: Simplify right side
    16,507.63x = 214,912,486.46
  5. Step 5: Solve for x
    x = 214,912,486.46/16,507.63
  6. Step 6: Final answer
    x = 13,018.98

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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.