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Finding the Fourth Proportional to 14,547.70, 21,823.76 and 7,428.04

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Solution

The fourth proportional to 14,547.70, 21,823.76 and 7,428.04 is: 11,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.70 : 21,823.76 = 7,428.04 : x
  2. Step 2: Convert to fraction form
    14,547.70/21,823.76 = 7,428.04/x
  3. Step 3: Cross multiply
    14,547.70x = 21,823.76 × 7,428.04
  4. Step 4: Simplify right side
    14,547.70x = 162,107,726.24
  5. Step 5: Solve for x
    x = 162,107,726.24/14,547.70
  6. Step 6: Final answer
    x = 11,143.18

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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.