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Finding the Fourth Proportional to 23,041.86, 31,798.35 and 12,970.66

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Solution

The fourth proportional to 23,041.86, 31,798.35 and 12,970.66 is: 17,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.86 : 31,798.35 = 12,970.66 : x
  2. Step 2: Convert to fraction form
    23,041.86/31,798.35 = 12,970.66/x
  3. Step 3: Cross multiply
    23,041.86x = 31,798.35 × 12,970.66
  4. Step 4: Simplify right side
    23,041.86x = 412,445,459.85
  5. Step 5: Solve for x
    x = 412,445,459.85/23,041.86
  6. Step 6: Final answer
    x = 17,899.84

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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.