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Finding the Fourth Proportional to 14,038.85, 21,058.23 and 9,642.98

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Solution

The fourth proportional to 14,038.85, 21,058.23 and 9,642.98 is: 14,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.85 : 21,058.23 = 9,642.98 : x
  2. Step 2: Convert to fraction form
    14,038.85/21,058.23 = 9,642.98/x
  3. Step 3: Cross multiply
    14,038.85x = 21,058.23 × 9,642.98
  4. Step 4: Simplify right side
    14,038.85x = 203,064,090.73
  5. Step 5: Solve for x
    x = 203,064,090.73/14,038.85
  6. Step 6: Final answer
    x = 14,464.44

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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.