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Finding the Fourth Proportional to 17,064, 23,548.56 and 10,440

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Solution

The fourth proportional to 17,064, 23,548.56 and 10,440 is: 14,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,064 : 23,548.56 = 10,440 : x
  2. Step 2: Convert to fraction form
    17,064/23,548.56 = 10,440/x
  3. Step 3: Cross multiply
    17,064x = 23,548.56 × 10,440
  4. Step 4: Simplify right side
    17,064x = 245,846,966.40
  5. Step 5: Solve for x
    x = 245,846,966.40/17,064
  6. Step 6: Final answer
    x = 14,407.35

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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.