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Finding the Fourth Proportional to 22,758.84, 31,396.68 and 14,258.16

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Solution

The fourth proportional to 22,758.84, 31,396.68 and 14,258.16 is: 19,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.84 : 31,396.68 = 14,258.16 : x
  2. Step 2: Convert to fraction form
    22,758.84/31,396.68 = 14,258.16/x
  3. Step 3: Cross multiply
    22,758.84x = 31,396.68 × 14,258.16
  4. Step 4: Simplify right side
    22,758.84x = 447,658,886.91
  5. Step 5: Solve for x
    x = 447,658,886.91/22,758.84
  6. Step 6: Final answer
    x = 19,669.67

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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.