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Finding the Fourth Proportional to 14,613.84, 21,929.40 and 5,386.32

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Solution

The fourth proportional to 14,613.84, 21,929.40 and 5,386.32 is: 8,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.84 : 21,929.40 = 5,386.32 : x
  2. Step 2: Convert to fraction form
    14,613.84/21,929.40 = 5,386.32/x
  3. Step 3: Cross multiply
    14,613.84x = 21,929.40 × 5,386.32
  4. Step 4: Simplify right side
    14,613.84x = 118,118,765.81
  5. Step 5: Solve for x
    x = 118,118,765.81/14,613.84
  6. Step 6: Final answer
    x = 8,082.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.