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Finding the Fourth Proportional to 22,030.60, 32,970.30 and 13,271.80

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Solution

The fourth proportional to 22,030.60, 32,970.30 and 13,271.80 is: 19,862.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,030.60 : 32,970.30 = 13,271.80 : x
  2. Step 2: Convert to fraction form
    22,030.60/32,970.30 = 13,271.80/x
  3. Step 3: Cross multiply
    22,030.60x = 32,970.30 × 13,271.80
  4. Step 4: Simplify right side
    22,030.60x = 437,575,227.54
  5. Step 5: Solve for x
    x = 437,575,227.54/22,030.60
  6. Step 6: Final answer
    x = 19,862.16

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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.