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Finding the Fourth Proportional to 17,406.12, 24,023.52 and 10,335

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Solution

The fourth proportional to 17,406.12, 24,023.52 and 10,335 is: 14,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.12 : 24,023.52 = 10,335 : x
  2. Step 2: Convert to fraction form
    17,406.12/24,023.52 = 10,335/x
  3. Step 3: Cross multiply
    17,406.12x = 24,023.52 × 10,335
  4. Step 4: Simplify right side
    17,406.12x = 248,283,079.20
  5. Step 5: Solve for x
    x = 248,283,079.20/17,406.12
  6. Step 6: Final answer
    x = 14,264.13

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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.