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Finding the Fourth Proportional to 14,547.35, 21,804.10 and 8,311.74

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Solution

The fourth proportional to 14,547.35, 21,804.10 and 8,311.74 is: 12,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.35 : 21,804.10 = 8,311.74 : x
  2. Step 2: Convert to fraction form
    14,547.35/21,804.10 = 8,311.74/x
  3. Step 3: Cross multiply
    14,547.35x = 21,804.10 × 8,311.74
  4. Step 4: Simplify right side
    14,547.35x = 181,230,010.13
  5. Step 5: Solve for x
    x = 181,230,010.13/14,547.35
  6. Step 6: Final answer
    x = 12,457.94

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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.