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Finding the Fourth Proportional to 15,698.18, 23,549.70 and 5,307.50

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Solution

The fourth proportional to 15,698.18, 23,549.70 and 5,307.50 is: 7,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.18 : 23,549.70 = 5,307.50 : x
  2. Step 2: Convert to fraction form
    15,698.18/23,549.70 = 5,307.50/x
  3. Step 3: Cross multiply
    15,698.18x = 23,549.70 × 5,307.50
  4. Step 4: Simplify right side
    15,698.18x = 124,990,032.75
  5. Step 5: Solve for x
    x = 124,990,032.75/15,698.18
  6. Step 6: Final answer
    x = 7,962.07

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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.