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Finding the Fourth Proportional to 23,526.74, 32,466.30 and 12,916.28

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Solution

The fourth proportional to 23,526.74, 32,466.30 and 12,916.28 is: 17,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,526.74 : 32,466.30 = 12,916.28 : x
  2. Step 2: Convert to fraction form
    23,526.74/32,466.30 = 12,916.28/x
  3. Step 3: Cross multiply
    23,526.74x = 32,466.30 × 12,916.28
  4. Step 4: Simplify right side
    23,526.74x = 419,343,821.36
  5. Step 5: Solve for x
    x = 419,343,821.36/23,526.74
  6. Step 6: Final answer
    x = 17,824.14

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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.