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Finding the Fourth Proportional to 19,210.50, 26,510.49 and 10,827

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Solution

The fourth proportional to 19,210.50, 26,510.49 and 10,827 is: 14,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,210.50 : 26,510.49 = 10,827 : x
  2. Step 2: Convert to fraction form
    19,210.50/26,510.49 = 10,827/x
  3. Step 3: Cross multiply
    19,210.50x = 26,510.49 × 10,827
  4. Step 4: Simplify right side
    19,210.50x = 287,029,075.23
  5. Step 5: Solve for x
    x = 287,029,075.23/19,210.50
  6. Step 6: Final answer
    x = 14,941.26

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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.