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Finding the Fourth Proportional to 13,484.84, 20,210.62 and 9,581

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Solution

The fourth proportional to 13,484.84, 20,210.62 and 9,581 is: 14,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.84 : 20,210.62 = 9,581 : x
  2. Step 2: Convert to fraction form
    13,484.84/20,210.62 = 9,581/x
  3. Step 3: Cross multiply
    13,484.84x = 20,210.62 × 9,581
  4. Step 4: Simplify right side
    13,484.84x = 193,637,950.22
  5. Step 5: Solve for x
    x = 193,637,950.22/13,484.84
  6. Step 6: Final answer
    x = 14,359.68

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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.