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Finding the Fourth Proportional to 14,767.10, 22,153.98 and 5,407.07

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Solution

The fourth proportional to 14,767.10, 22,153.98 and 5,407.07 is: 8,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.10 : 22,153.98 = 5,407.07 : x
  2. Step 2: Convert to fraction form
    14,767.10/22,153.98 = 5,407.07/x
  3. Step 3: Cross multiply
    14,767.10x = 22,153.98 × 5,407.07
  4. Step 4: Simplify right side
    14,767.10x = 119,788,009.87
  5. Step 5: Solve for x
    x = 119,788,009.87/14,767.10
  6. Step 6: Final answer
    x = 8,111.82

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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.