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Finding the Fourth Proportional to 23,118.84, 31,904.15 and 12,508.45

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Solution

The fourth proportional to 23,118.84, 31,904.15 and 12,508.45 is: 17,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118.84 : 31,904.15 = 12,508.45 : x
  2. Step 2: Convert to fraction form
    23,118.84/31,904.15 = 12,508.45/x
  3. Step 3: Cross multiply
    23,118.84x = 31,904.15 × 12,508.45
  4. Step 4: Simplify right side
    23,118.84x = 399,071,322.76
  5. Step 5: Solve for x
    x = 399,071,322.76/23,118.84
  6. Step 6: Final answer
    x = 17,261.74

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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.