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Finding the Fourth Proportional to 25,335, 38,007.54 and 7,804.08

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Solution

The fourth proportional to 25,335, 38,007.54 and 7,804.08 is: 11,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,335 : 38,007.54 = 7,804.08 : x
  2. Step 2: Convert to fraction form
    25,335/38,007.54 = 7,804.08/x
  3. Step 3: Cross multiply
    25,335x = 38,007.54 × 7,804.08
  4. Step 4: Simplify right side
    25,335x = 296,613,882.76
  5. Step 5: Solve for x
    x = 296,613,882.76/25,335
  6. Step 6: Final answer
    x = 11,707.67

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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.