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Finding the Fourth Proportional to 19,784.79, 29,656.13 and 13,543.07

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Solution

The fourth proportional to 19,784.79, 29,656.13 and 13,543.07 is: 20,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.79 : 29,656.13 = 13,543.07 : x
  2. Step 2: Convert to fraction form
    19,784.79/29,656.13 = 13,543.07/x
  3. Step 3: Cross multiply
    19,784.79x = 29,656.13 × 13,543.07
  4. Step 4: Simplify right side
    19,784.79x = 401,634,828.52
  5. Step 5: Solve for x
    x = 401,634,828.52/19,784.79
  6. Step 6: Final answer
    x = 20,300.18

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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.