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Finding the Fourth Proportional to 23,457.84, 32,371.34 and 13,386.84

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Solution

The fourth proportional to 23,457.84, 32,371.34 and 13,386.84 is: 18,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.84 : 32,371.34 = 13,386.84 : x
  2. Step 2: Convert to fraction form
    23,457.84/32,371.34 = 13,386.84/x
  3. Step 3: Cross multiply
    23,457.84x = 32,371.34 × 13,386.84
  4. Step 4: Simplify right side
    23,457.84x = 433,349,949.17
  5. Step 5: Solve for x
    x = 433,349,949.17/23,457.84
  6. Step 6: Final answer
    x = 18,473.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.