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Finding the Fourth Proportional to 19,902.10, 27,459.93 and 12,820

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Solution

The fourth proportional to 19,902.10, 27,459.93 and 12,820 is: 17,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.10 : 27,459.93 = 12,820 : x
  2. Step 2: Convert to fraction form
    19,902.10/27,459.93 = 12,820/x
  3. Step 3: Cross multiply
    19,902.10x = 27,459.93 × 12,820
  4. Step 4: Simplify right side
    19,902.10x = 352,036,302.60
  5. Step 5: Solve for x
    x = 352,036,302.60/19,902.10
  6. Step 6: Final answer
    x = 17,688.40

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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.