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Finding the Fourth Proportional to 12,459, 17,196.64 and 7,156.74

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Solution

The fourth proportional to 12,459, 17,196.64 and 7,156.74 is: 9,878.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,459 : 17,196.64 = 7,156.74 : x
  2. Step 2: Convert to fraction form
    12,459/17,196.64 = 7,156.74/x
  3. Step 3: Cross multiply
    12,459x = 17,196.64 × 7,156.74
  4. Step 4: Simplify right side
    12,459x = 123,071,881.35
  5. Step 5: Solve for x
    x = 123,071,881.35/12,459
  6. Step 6: Final answer
    x = 9,878.15

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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.