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Finding the Fourth Proportional to 14,181.90, 19,598.00 and 10,638.96

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Solution

The fourth proportional to 14,181.90, 19,598.00 and 10,638.96 is: 14,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.90 : 19,598.00 = 10,638.96 : x
  2. Step 2: Convert to fraction form
    14,181.90/19,598.00 = 10,638.96/x
  3. Step 3: Cross multiply
    14,181.90x = 19,598.00 × 10,638.96
  4. Step 4: Simplify right side
    14,181.90x = 208,502,284.89
  5. Step 5: Solve for x
    x = 208,502,284.89/14,181.90
  6. Step 6: Final answer
    x = 14,702.00

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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.