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Finding the Fourth Proportional to 14,385, 21,582.69 and 5,026.40

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Solution

The fourth proportional to 14,385, 21,582.69 and 5,026.40 is: 7,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,385 : 21,582.69 = 5,026.40 : x
  2. Step 2: Convert to fraction form
    14,385/21,582.69 = 5,026.40/x
  3. Step 3: Cross multiply
    14,385x = 21,582.69 × 5,026.40
  4. Step 4: Simplify right side
    14,385x = 108,483,233.02
  5. Step 5: Solve for x
    x = 108,483,233.02/14,385
  6. Step 6: Final answer
    x = 7,541.41

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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.