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Finding the Fourth Proportional to 15,807.34, 23,712.23 and 4,713.16

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Solution

The fourth proportional to 15,807.34, 23,712.23 and 4,713.16 is: 7,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.34 : 23,712.23 = 4,713.16 : x
  2. Step 2: Convert to fraction form
    15,807.34/23,712.23 = 4,713.16/x
  3. Step 3: Cross multiply
    15,807.34x = 23,712.23 × 4,713.16
  4. Step 4: Simplify right side
    15,807.34x = 111,759,510.38
  5. Step 5: Solve for x
    x = 111,759,510.38/15,807.34
  6. Step 6: Final answer
    x = 7,070.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.