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Finding the Fourth Proportional to 15,643.50, 23,459.52 and 4,547.19

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Solution

The fourth proportional to 15,643.50, 23,459.52 and 4,547.19 is: 6,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.50 : 23,459.52 = 4,547.19 : x
  2. Step 2: Convert to fraction form
    15,643.50/23,459.52 = 4,547.19/x
  3. Step 3: Cross multiply
    15,643.50x = 23,459.52 × 4,547.19
  4. Step 4: Simplify right side
    15,643.50x = 106,674,894.75
  5. Step 5: Solve for x
    x = 106,674,894.75/15,643.50
  6. Step 6: Final answer
    x = 6,819.12

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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.