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Finding the Fourth Proportional to 14,457.86, 21,686.79 and 4,597.14

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Solution

The fourth proportional to 14,457.86, 21,686.79 and 4,597.14 is: 6,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.86 : 21,686.79 = 4,597.14 : x
  2. Step 2: Convert to fraction form
    14,457.86/21,686.79 = 4,597.14/x
  3. Step 3: Cross multiply
    14,457.86x = 21,686.79 × 4,597.14
  4. Step 4: Simplify right side
    14,457.86x = 99,697,209.78
  5. Step 5: Solve for x
    x = 99,697,209.78/14,457.86
  6. Step 6: Final answer
    x = 6,895.71

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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.