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Finding the Fourth Proportional to 14,437.60, 21,656.40 and 7,046.80

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Solution

The fourth proportional to 14,437.60, 21,656.40 and 7,046.80 is: 10,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.60 : 21,656.40 = 7,046.80 : x
  2. Step 2: Convert to fraction form
    14,437.60/21,656.40 = 7,046.80/x
  3. Step 3: Cross multiply
    14,437.60x = 21,656.40 × 7,046.80
  4. Step 4: Simplify right side
    14,437.60x = 152,608,319.52
  5. Step 5: Solve for x
    x = 152,608,319.52/14,437.60
  6. Step 6: Final answer
    x = 10,570.20

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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.