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Finding the Fourth Proportional to 22,968.84, 31,696.98 and 13,415.34

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Solution

The fourth proportional to 22,968.84, 31,696.98 and 13,415.34 is: 18,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.84 : 31,696.98 = 13,415.34 : x
  2. Step 2: Convert to fraction form
    22,968.84/31,696.98 = 13,415.34/x
  3. Step 3: Cross multiply
    22,968.84x = 31,696.98 × 13,415.34
  4. Step 4: Simplify right side
    22,968.84x = 425,225,763.67
  5. Step 5: Solve for x
    x = 425,225,763.67/22,968.84
  6. Step 6: Final answer
    x = 18,513.16

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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.