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Finding the Fourth Proportional to 13,970.64, 19,280.76 and 8,004.24

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Solution

The fourth proportional to 13,970.64, 19,280.76 and 8,004.24 is: 11,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.64 : 19,280.76 = 8,004.24 : x
  2. Step 2: Convert to fraction form
    13,970.64/19,280.76 = 8,004.24/x
  3. Step 3: Cross multiply
    13,970.64x = 19,280.76 × 8,004.24
  4. Step 4: Simplify right side
    13,970.64x = 154,327,830.42
  5. Step 5: Solve for x
    x = 154,327,830.42/13,970.64
  6. Step 6: Final answer
    x = 11,046.58

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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.