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Finding the Fourth Proportional to 14,547.56, 21,824.10 and 4,684.19

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Solution

The fourth proportional to 14,547.56, 21,824.10 and 4,684.19 is: 7,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.56 : 21,824.10 = 4,684.19 : x
  2. Step 2: Convert to fraction form
    14,547.56/21,824.10 = 4,684.19/x
  3. Step 3: Cross multiply
    14,547.56x = 21,824.10 × 4,684.19
  4. Step 4: Simplify right side
    14,547.56x = 102,228,121.86
  5. Step 5: Solve for x
    x = 102,228,121.86/14,547.56
  6. Step 6: Final answer
    x = 7,027.17

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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.