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Finding the Fourth Proportional to 13,927.64, 19,220.06 and 7,640

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Solution

The fourth proportional to 13,927.64, 19,220.06 and 7,640 is: 10,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.64 : 19,220.06 = 7,640 : x
  2. Step 2: Convert to fraction form
    13,927.64/19,220.06 = 7,640/x
  3. Step 3: Cross multiply
    13,927.64x = 19,220.06 × 7,640
  4. Step 4: Simplify right side
    13,927.64x = 146,841,258.40
  5. Step 5: Solve for x
    x = 146,841,258.40/13,927.64
  6. Step 6: Final answer
    x = 10,543.15

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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.