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Finding the Fourth Proportional to 14,883.68, 22,325.58 and 5,023

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Solution

The fourth proportional to 14,883.68, 22,325.58 and 5,023 is: 7,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,883.68 : 22,325.58 = 5,023 : x
  2. Step 2: Convert to fraction form
    14,883.68/22,325.58 = 5,023/x
  3. Step 3: Cross multiply
    14,883.68x = 22,325.58 × 5,023
  4. Step 4: Simplify right side
    14,883.68x = 112,141,388.34
  5. Step 5: Solve for x
    x = 112,141,388.34/14,883.68
  6. Step 6: Final answer
    x = 7,534.52

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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.