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Finding the Fourth Proportional to 19,374.40, 29,068.16 and 9,513.92

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Solution

The fourth proportional to 19,374.40, 29,068.16 and 9,513.92 is: 14,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,374.40 : 29,068.16 = 9,513.92 : x
  2. Step 2: Convert to fraction form
    19,374.40/29,068.16 = 9,513.92/x
  3. Step 3: Cross multiply
    19,374.40x = 29,068.16 × 9,513.92
  4. Step 4: Simplify right side
    19,374.40x = 276,552,148.79
  5. Step 5: Solve for x
    x = 276,552,148.79/19,374.40
  6. Step 6: Final answer
    x = 14,274.10

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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.