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Finding the Fourth Proportional to 14,648.60, 21,987.30 and 7,261.40

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Solution

The fourth proportional to 14,648.60, 21,987.30 and 7,261.40 is: 10,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.60 : 21,987.30 = 7,261.40 : x
  2. Step 2: Convert to fraction form
    14,648.60/21,987.30 = 7,261.40/x
  3. Step 3: Cross multiply
    14,648.60x = 21,987.30 × 7,261.40
  4. Step 4: Simplify right side
    14,648.60x = 159,658,580.22
  5. Step 5: Solve for x
    x = 159,658,580.22/14,648.60
  6. Step 6: Final answer
    x = 10,899.24

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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.