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Finding the Fourth Proportional to 19,426, 26,807.88 and 10,594

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Solution

The fourth proportional to 19,426, 26,807.88 and 10,594 is: 14,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,426 : 26,807.88 = 10,594 : x
  2. Step 2: Convert to fraction form
    19,426/26,807.88 = 10,594/x
  3. Step 3: Cross multiply
    19,426x = 26,807.88 × 10,594
  4. Step 4: Simplify right side
    19,426x = 284,002,680.72
  5. Step 5: Solve for x
    x = 284,002,680.72/19,426
  6. Step 6: Final answer
    x = 14,619.72

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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.