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Finding the Fourth Proportional to 21,407.94, 32,108.58 and 8,258.40

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Solution

The fourth proportional to 21,407.94, 32,108.58 and 8,258.40 is: 12,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.94 : 32,108.58 = 8,258.40 : x
  2. Step 2: Convert to fraction form
    21,407.94/32,108.58 = 8,258.40/x
  3. Step 3: Cross multiply
    21,407.94x = 32,108.58 × 8,258.40
  4. Step 4: Simplify right side
    21,407.94x = 265,165,497.07
  5. Step 5: Solve for x
    x = 265,165,497.07/21,407.94
  6. Step 6: Final answer
    x = 12,386.32

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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.