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Finding the Fourth Proportional to 14,689.84, 22,035.12 and 4,302.40

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Solution

The fourth proportional to 14,689.84, 22,035.12 and 4,302.40 is: 6,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.84 : 22,035.12 = 4,302.40 : x
  2. Step 2: Convert to fraction form
    14,689.84/22,035.12 = 4,302.40/x
  3. Step 3: Cross multiply
    14,689.84x = 22,035.12 × 4,302.40
  4. Step 4: Simplify right side
    14,689.84x = 94,803,900.29
  5. Step 5: Solve for x
    x = 94,803,900.29/14,689.84
  6. Step 6: Final answer
    x = 6,453.71

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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.