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Finding the Fourth Proportional to 19,681.12, 29,482.08 and 9,790.40

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Solution

The fourth proportional to 19,681.12, 29,482.08 and 9,790.40 is: 14,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.12 : 29,482.08 = 9,790.40 : x
  2. Step 2: Convert to fraction form
    19,681.12/29,482.08 = 9,790.40/x
  3. Step 3: Cross multiply
    19,681.12x = 29,482.08 × 9,790.40
  4. Step 4: Simplify right side
    19,681.12x = 288,641,356.03
  5. Step 5: Solve for x
    x = 288,641,356.03/19,681.12
  6. Step 6: Final answer
    x = 14,665.90

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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.