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Finding the Fourth Proportional to 14,802.32, 22,162.16 and 10,112.42

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Solution

The fourth proportional to 14,802.32, 22,162.16 and 10,112.42 is: 15,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.32 : 22,162.16 = 10,112.42 : x
  2. Step 2: Convert to fraction form
    14,802.32/22,162.16 = 10,112.42/x
  3. Step 3: Cross multiply
    14,802.32x = 22,162.16 × 10,112.42
  4. Step 4: Simplify right side
    14,802.32x = 224,113,070.03
  5. Step 5: Solve for x
    x = 224,113,070.03/14,802.32
  6. Step 6: Final answer
    x = 15,140.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.