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Finding the Fourth Proportional to 18,547.94, 27,775.76 and 12,975.19

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Solution

The fourth proportional to 18,547.94, 27,775.76 and 12,975.19 is: 19,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.94 : 27,775.76 = 12,975.19 : x
  2. Step 2: Convert to fraction form
    18,547.94/27,775.76 = 12,975.19/x
  3. Step 3: Cross multiply
    18,547.94x = 27,775.76 × 12,975.19
  4. Step 4: Simplify right side
    18,547.94x = 360,395,877.83
  5. Step 5: Solve for x
    x = 360,395,877.83/18,547.94
  6. Step 6: Final answer
    x = 19,430.50

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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.