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Finding the Fourth Proportional to 13,967.78, 19,275.54 and 7,680.16

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Solution

The fourth proportional to 13,967.78, 19,275.54 and 7,680.16 is: 10,598.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.78 : 19,275.54 = 7,680.16 : x
  2. Step 2: Convert to fraction form
    13,967.78/19,275.54 = 7,680.16/x
  3. Step 3: Cross multiply
    13,967.78x = 19,275.54 × 7,680.16
  4. Step 4: Simplify right side
    13,967.78x = 148,039,106.11
  5. Step 5: Solve for x
    x = 148,039,106.11/13,967.78
  6. Step 6: Final answer
    x = 10,598.61

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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.