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Finding the Fourth Proportional to 14,075.47, 19,423.84 and 7,702.03

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Solution

The fourth proportional to 14,075.47, 19,423.84 and 7,702.03 is: 10,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.47 : 19,423.84 = 7,702.03 : x
  2. Step 2: Convert to fraction form
    14,075.47/19,423.84 = 7,702.03/x
  3. Step 3: Cross multiply
    14,075.47x = 19,423.84 × 7,702.03
  4. Step 4: Simplify right side
    14,075.47x = 149,602,998.40
  5. Step 5: Solve for x
    x = 149,602,998.40/14,075.47
  6. Step 6: Final answer
    x = 10,628.64

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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.