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Finding the Fourth Proportional to 23,875.64, 32,948.38 and 13,266.24

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Solution

The fourth proportional to 23,875.64, 32,948.38 and 13,266.24 is: 18,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.64 : 32,948.38 = 13,266.24 : x
  2. Step 2: Convert to fraction form
    23,875.64/32,948.38 = 13,266.24/x
  3. Step 3: Cross multiply
    23,875.64x = 32,948.38 × 13,266.24
  4. Step 4: Simplify right side
    23,875.64x = 437,101,116.69
  5. Step 5: Solve for x
    x = 437,101,116.69/23,875.64
  6. Step 6: Final answer
    x = 18,307.41

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Why These Related Problems?

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