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Finding the Fourth Proportional to 14,547.40, 21,806.70 and 7,145.80

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Solution

The fourth proportional to 14,547.40, 21,806.70 and 7,145.80 is: 10,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.40 : 21,806.70 = 7,145.80 : x
  2. Step 2: Convert to fraction form
    14,547.40/21,806.70 = 7,145.80/x
  3. Step 3: Cross multiply
    14,547.40x = 21,806.70 × 7,145.80
  4. Step 4: Simplify right side
    14,547.40x = 155,826,316.86
  5. Step 5: Solve for x
    x = 155,826,316.86/14,547.40
  6. Step 6: Final answer
    x = 10,711.63

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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.