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Finding the Fourth Proportional to 23,582.70, 32,543.28 and 12,970.80

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Solution

The fourth proportional to 23,582.70, 32,543.28 and 12,970.80 is: 17,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582.70 : 32,543.28 = 12,970.80 : x
  2. Step 2: Convert to fraction form
    23,582.70/32,543.28 = 12,970.80/x
  3. Step 3: Cross multiply
    23,582.70x = 32,543.28 × 12,970.80
  4. Step 4: Simplify right side
    23,582.70x = 422,112,376.22
  5. Step 5: Solve for x
    x = 422,112,376.22/23,582.70
  6. Step 6: Final answer
    x = 17,899.24

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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.