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Finding the Fourth Proportional to 19,501.40, 29,210.16 and 11,158

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Solution

The fourth proportional to 19,501.40, 29,210.16 and 11,158 is: 16,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,501.40 : 29,210.16 = 11,158 : x
  2. Step 2: Convert to fraction form
    19,501.40/29,210.16 = 11,158/x
  3. Step 3: Cross multiply
    19,501.40x = 29,210.16 × 11,158
  4. Step 4: Simplify right side
    19,501.40x = 325,926,965.28
  5. Step 5: Solve for x
    x = 325,926,965.28/19,501.40
  6. Step 6: Final answer
    x = 16,713.00

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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.