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Finding the Fourth Proportional to 17,972.64, 24,802.08 and 10,014.72

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Solution

The fourth proportional to 17,972.64, 24,802.08 and 10,014.72 is: 13,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972.64 : 24,802.08 = 10,014.72 : x
  2. Step 2: Convert to fraction form
    17,972.64/24,802.08 = 10,014.72/x
  3. Step 3: Cross multiply
    17,972.64x = 24,802.08 × 10,014.72
  4. Step 4: Simplify right side
    17,972.64x = 248,385,886.62
  5. Step 5: Solve for x
    x = 248,385,886.62/17,972.64
  6. Step 6: Final answer
    x = 13,820.22

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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.