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Finding the Fourth Proportional to 21,457.68, 32,193 and 14,465.76

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Solution

The fourth proportional to 21,457.68, 32,193 and 14,465.76 is: 21,703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.68 : 32,193 = 14,465.76 : x
  2. Step 2: Convert to fraction form
    21,457.68/32,193 = 14,465.76/x
  3. Step 3: Cross multiply
    21,457.68x = 32,193 × 14,465.76
  4. Step 4: Simplify right side
    21,457.68x = 465,696,211.68
  5. Step 5: Solve for x
    x = 465,696,211.68/21,457.68
  6. Step 6: Final answer
    x = 21,703.01

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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.