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Finding the Fourth Proportional to 23,499, 32,427.06 and 12,886.50

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Solution

The fourth proportional to 23,499, 32,427.06 and 12,886.50 is: 17,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,499 : 32,427.06 = 12,886.50 : x
  2. Step 2: Convert to fraction form
    23,499/32,427.06 = 12,886.50/x
  3. Step 3: Cross multiply
    23,499x = 32,427.06 × 12,886.50
  4. Step 4: Simplify right side
    23,499x = 417,871,308.69
  5. Step 5: Solve for x
    x = 417,871,308.69/23,499
  6. Step 6: Final answer
    x = 17,782.51

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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.