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Finding the Fourth Proportional to 21,302.30, 31,953.45 and 13,429.10

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Solution

The fourth proportional to 21,302.30, 31,953.45 and 13,429.10 is: 20,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.30 : 31,953.45 = 13,429.10 : x
  2. Step 2: Convert to fraction form
    21,302.30/31,953.45 = 13,429.10/x
  3. Step 3: Cross multiply
    21,302.30x = 31,953.45 × 13,429.10
  4. Step 4: Simplify right side
    21,302.30x = 429,106,075.40
  5. Step 5: Solve for x
    x = 429,106,075.40/21,302.30
  6. Step 6: Final answer
    x = 20,143.65

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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.