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Finding the Fourth Proportional to 14,506.70, 21,762.30 and 6,186.74

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Solution

The fourth proportional to 14,506.70, 21,762.30 and 6,186.74 is: 9,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.70 : 21,762.30 = 6,186.74 : x
  2. Step 2: Convert to fraction form
    14,506.70/21,762.30 = 6,186.74/x
  3. Step 3: Cross multiply
    14,506.70x = 21,762.30 × 6,186.74
  4. Step 4: Simplify right side
    14,506.70x = 134,637,691.90
  5. Step 5: Solve for x
    x = 134,637,691.90/14,506.70
  6. Step 6: Final answer
    x = 9,281.07

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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.