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Finding the Fourth Proportional to 26,798, 36,981.32 and 14,862.16

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Solution

The fourth proportional to 26,798, 36,981.32 and 14,862.16 is: 20,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,798 : 36,981.32 = 14,862.16 : x
  2. Step 2: Convert to fraction form
    26,798/36,981.32 = 14,862.16/x
  3. Step 3: Cross multiply
    26,798x = 36,981.32 × 14,862.16
  4. Step 4: Simplify right side
    26,798x = 549,622,294.85
  5. Step 5: Solve for x
    x = 549,622,294.85/26,798
  6. Step 6: Final answer
    x = 20,509.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.