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Finding the Fourth Proportional to 14,457.86, 21,686.78 and 4,597.13

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Solution

The fourth proportional to 14,457.86, 21,686.78 and 4,597.13 is: 6,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.86 : 21,686.78 = 4,597.13 : x
  2. Step 2: Convert to fraction form
    14,457.86/21,686.78 = 4,597.13/x
  3. Step 3: Cross multiply
    14,457.86x = 21,686.78 × 4,597.13
  4. Step 4: Simplify right side
    14,457.86x = 99,697,012.65
  5. Step 5: Solve for x
    x = 99,697,012.65/14,457.86
  6. Step 6: Final answer
    x = 6,895.70

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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.