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Finding the Fourth Proportional to 14,602.17, 21,866.36 and 9,656.82

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Solution

The fourth proportional to 14,602.17, 21,866.36 and 9,656.82 is: 14,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.17 : 21,866.36 = 9,656.82 : x
  2. Step 2: Convert to fraction form
    14,602.17/21,866.36 = 9,656.82/x
  3. Step 3: Cross multiply
    14,602.17x = 21,866.36 × 9,656.82
  4. Step 4: Simplify right side
    14,602.17x = 211,159,454.29
  5. Step 5: Solve for x
    x = 211,159,454.29/14,602.17
  6. Step 6: Final answer
    x = 14,460.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.