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Finding the Fourth Proportional to 21,038.40, 31,492.80 and 17,280

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Solution

The fourth proportional to 21,038.40, 31,492.80 and 17,280 is: 25,866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.40 : 31,492.80 = 17,280 : x
  2. Step 2: Convert to fraction form
    21,038.40/31,492.80 = 17,280/x
  3. Step 3: Cross multiply
    21,038.40x = 31,492.80 × 17,280
  4. Step 4: Simplify right side
    21,038.40x = 544,195,584
  5. Step 5: Solve for x
    x = 544,195,584/21,038.40
  6. Step 6: Final answer
    x = 25,866.78

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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.