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Finding the Fourth Proportional to 15,423, 21,283.76 and 9,837.24

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Solution

The fourth proportional to 15,423, 21,283.76 and 9,837.24 is: 13,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,423 : 21,283.76 = 9,837.24 : x
  2. Step 2: Convert to fraction form
    15,423/21,283.76 = 9,837.24/x
  3. Step 3: Cross multiply
    15,423x = 21,283.76 × 9,837.24
  4. Step 4: Simplify right side
    15,423x = 209,373,455.22
  5. Step 5: Solve for x
    x = 209,373,455.22/15,423
  6. Step 6: Final answer
    x = 13,575.40

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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.