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Finding the Fourth Proportional to 17,928.30, 24,740.43 and 9,970.35

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Solution

The fourth proportional to 17,928.30, 24,740.43 and 9,970.35 is: 13,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,928.30 : 24,740.43 = 9,970.35 : x
  2. Step 2: Convert to fraction form
    17,928.30/24,740.43 = 9,970.35/x
  3. Step 3: Cross multiply
    17,928.30x = 24,740.43 × 9,970.35
  4. Step 4: Simplify right side
    17,928.30x = 246,670,746.25
  5. Step 5: Solve for x
    x = 246,670,746.25/17,928.30
  6. Step 6: Final answer
    x = 13,758.74

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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.