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Finding the Fourth Proportional to 14,417.16, 21,586.80 and 7,477.08

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Solution

The fourth proportional to 14,417.16, 21,586.80 and 7,477.08 is: 11,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.16 : 21,586.80 = 7,477.08 : x
  2. Step 2: Convert to fraction form
    14,417.16/21,586.80 = 7,477.08/x
  3. Step 3: Cross multiply
    14,417.16x = 21,586.80 × 7,477.08
  4. Step 4: Simplify right side
    14,417.16x = 161,406,230.54
  5. Step 5: Solve for x
    x = 161,406,230.54/14,417.16
  6. Step 6: Final answer
    x = 11,195.42

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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.