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Finding the Fourth Proportional to 13,930.34, 19,224 and 7,642.70

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Solution

The fourth proportional to 13,930.34, 19,224 and 7,642.70 is: 10,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.34 : 19,224 = 7,642.70 : x
  2. Step 2: Convert to fraction form
    13,930.34/19,224 = 7,642.70/x
  3. Step 3: Cross multiply
    13,930.34x = 19,224 × 7,642.70
  4. Step 4: Simplify right side
    13,930.34x = 146,923,264.80
  5. Step 5: Solve for x
    x = 146,923,264.80/13,930.34
  6. Step 6: Final answer
    x = 10,547.00

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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.